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Recent questions tagged permutations-and-combinations
Questions
The number of ways of dividing 15 men and 15 women into 15 couples each consisting of a man and woman is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q1
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if (c) All letters are used but the first is a vowel
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q64-c
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if All letters are used at a time
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q64-b
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if 4 letters are used at a time
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q64-a
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
Using the digits 1,2,3,4,5,6,7,a number of 4 different digit is formed.Find (d) How many of these are exactly divisible by 4
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q63-d
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
Using the digits 1,2,3,4,5,6,7,a number of 4 different digit is formed.Find (c) How many numbers are exactly divisible by 25
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q63-c
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
Using the digits 1,2,3,4,5,6,7,a number of 4 different digit is formed. Find How many numbers are exactly divisible by 2
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q63-b
sec-b
medium
asked
May 19, 2014
by
sreemathi.v
1
answer
Using the digits 1,2,3,4,5,6,7,a number of 4 different digit is formed.Find (a) How many numbers are formed
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q63-a
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed.Find (d) In how many ways a particular lecturer is excluded
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q62-d
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed.Find In how many ways a particular lecturer is included
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q62-c
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed.Find In how many ways a particular professor is included
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q62-b
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturers is to be formed. In how many ways can a committee be formed?
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q62-a
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
Five boys and five girls form a line.Find the number of ways of making the seating arrangement under the following condition : All the girls are never together
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q61-d
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
Five boys and five girls form a line.Find the number of ways of making the seating arrangement under the following condition : All the girls sit together
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q61-c
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
Five boys and five girls form a line.Find the number of ways of making the seating arrangement under the following condition : No two girls sit together
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q61-b
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
Five boys and five girls form a line.Find the number of ways of making the seating arrangement under the following condition : Boys and girls alternate
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q61-a
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
There are 3 books on mathematics 4 on physics and 5 on english .How many different collections can be made such that each collections consists of : Atleast one book of english
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q60-c
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
There are 3 books on mathematics 4 on physics and 5 on english .How many different collections can be made such that each collections consists of : Atleast one book of each subject
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q60-b
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
There are 3 books on mathematics 4 on physics and 5 on english .How many different collections can be made such that each collections consists of : one book of each subject
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q60-a
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
True-or-False:To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes.If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all,the number of ways in which the selection can be made is $5C_3\times 20C_9$
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q59
sec-a
easy
asked
May 19, 2014
by
sreemathi.v
1
answer
True-or-False:A candidate is required to answer 7 questions out of 12 questions which are divided into two groups,each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. He can choose the seven questions in 650 ways.
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q58
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
True-or-False:Eighteen guests are to be seated,half on each side of a long table.Four particular guests desire to sit on one particular side and three others on other side of the table.The number of ways in which the seating arrangements can be made is $\large\frac{11!}{5!6!}$$(9!)(9!)$
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q57
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
True-or-False:There will be only at 24 selections containing atleast one red ball out of a bag containing 4 red and 5 black balls.It is being given that balls of the same colour are identical.
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q56
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
True-or-False:If some or all of n objects are taken at a time,the number of combinations is $2^n-1$
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q55
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
True-or-False:In a steamer there are stalls for 12 animals and there are horses,cows and calves (not less than 12 each) ready to be shipped.They can be loaded in $3^{12}$ ways
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q54
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
True-or-False:In the permutations of n things,r taken together,the number of permutation in which m particular things occur together is $(n-m)P_{r-m}\times rP_m$
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q53
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
True-or-False:Three letters can be posted in five letter boxes in $3^5$ ways
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q52
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
True-or-False:There are $12$ points in a plane of which $5$ points are collinear,then the number of lines obtained by joining these points in pair is $12C_2-5C_2$
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
true-or-false
exemplar
q51
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
A box contain 2 white balls,3 black balls and 4 red balls.The number of ways three balls be drawn from the box if at least one black ball is to be included in the draw is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q50
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
A committee of 6 is to be chosen from 10 men and 7 women so as to contain atleast 3 men and 2 women . In how many different ways can this be done if two particular women refuse to serve on the same committee.
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q49
sec-c
difficult
asked
May 16, 2014
by
sreemathi.v
1
answer
The total number of ways in which six '+' and four '-' signs can be arranged in a line such that no two signs '-' occur together is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q48
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
In a foot ball championship,$153$ matches were played. Every two teams played one match with each other. The number of teams,participating in the championship is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q47
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of six digit numbers,all digits of which are odd is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q46
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
Three balls are drawn from a bag containing 5 red,4 white and 3 black balls.The number of ways in which this can be done if at least 2 are red is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q45
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of different words that can be formed from the letters of the word INTERMEDIATE.Such that two vowels never come together is ________
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q44
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
2
answers
The number of permutations of n different objects,taken r at a line,when repetitions are allowed is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q43
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
$15C_8+15C_9-15C_6-15C_7$=_____
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q42
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
If $nP_r=840,nC_r=35$ then $r$=_______
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q41
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
Given 5 different green dyes ,four different blue dyes and three different red dyes,the number of combinations of dyes which can be chosen taking at least one green and one blue dye is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q40
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of words which can be formed out of the letters of the word ARTICLE,so that vowels occupy the even place is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q39
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The total number of 9 digit numbers which have all different digits is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q38
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two men and exactly twice as many women and men is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q37
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of 5-digit telephone numbers having one of their digits repeated is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q36
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of ways in which a team of 11 players can be selected from 22 players including 2 of them and excluding 4 of them is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q35
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of parallelogram that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q34
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
The number of triangles that are formed by choosing the vertices from a set of 12 points,seven of which lie on the same line is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q33
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
Every body in a room shakes hands with everybody else.The total number of hand shakes is 66.The total number of persons in the room is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q32
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
A five digit number divisible by 3 is to be formed using the numbers 0,1,2,3,4 and 5 without repetitions.The total number of ways this can be done is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q31
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q30
sec-b
medium
asked
May 16, 2014
by
sreemathi.v
1
answer
The sum of the digits in unit place of all the numbers formed with the help of 3,4,5 and 6 taken all at a time is
cbse
math
class11
ch7
permutations-and-combinations
exercise7-3
exemplar
q29
sec-a
easy
asked
May 16, 2014
by
sreemathi.v
1
answer
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