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Recent questions and answers in Permutations and Combinations
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CBSE XI
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Math
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Permutations and Combinations
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
answered
Feb 6, 2019
by
yesgayathri
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
answered
Jan 28, 2018
by
nikitadalwale95
2
answers
How many 10 digit numbers can be written using digits (9 and 2) ?
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q50
sec-a
easy
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of selecting atleast 4 candidates from 8 candidates is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q49
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
In how many number of ways can 10 students be divided into three teams,one containing four students and the other three?
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q48
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of ways in which one can select three distinct integers between 1 and 30 both inclusive ,whose sum is even is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q47
sec-c
difficult
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of triangles which can be formed by using the vertices of a regular polygon of (n+3) sides is 220.Then n is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q46
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
How many numbers of 6 digits can be formed from the digits of the number 112233?
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q45
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
There are 5 letters and 5 different envelopes.The number of ways in which all the letters can be put in wrong envelope is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q44
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of ways four boys can be seated around a round-table in four chairs of different colours is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q43
sec-a
easy
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of natural numbers less than 1000 in which no two digit are repeated is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q42
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
If $nC_{12}=nC_6$ then $nC_2$ is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q41
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes.The number of ways of arranging one ball in each of the boxes is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q40
sec-c
difficult
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of diagonals in a octagon will be
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q39
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of ways of distributing 8 identical balls in 3 distinct boxes,so that none of the boxes is empty is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q38
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q37
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
If $189C_{35}+189C_x=190C_x$ then $x$ is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q36
sec-a
easy
answered
Jun 20, 2014
by
sreemathi.v
1
answer
At an electron,a voter may vote for any number of candidates not greater than the number to be elected.There are 10 candidates and 4 are to be elected.If a voter votes for atleast for atleast one candidate,then the number of ways in which he can vote is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q35
sec-a
easy
answered
Jun 20, 2014
by
sreemathi.v
1
answer
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent.
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q34
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
There are two urns.Urn A has 3 distinct red balls and urn B has 9 distinct blue balls.From each urn two balls are taken out at random and then transferred to the other.The number of ways in which this can be done is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q33
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary.The number of words that appear before the word COCHIN is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q32
sec-c
difficult
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q31
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of different ways of distributing 10 marks among 3 questions,each questions carrying atleast 1 mark,is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q30
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of ways to give away 20 apples to 3 boys,each boy receiving atleast 4 apples is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q29
sec-a
easy
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of arrangements of the letters of the word BHARAT taking 3 at a time is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q28
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
Total number of ways in which 15 identical blanks can be distributed among 4 persons so that each of them gets atleast two blankets is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q27
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
The number of triangles whose vertices are at the vertices of an octagon but none of whose sides happen to come from the octagon is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q26
sec-c
difficult
answered
Jun 20, 2014
by
sreemathi.v
1
answer
Two numbers are chosen from 1,3,5,7.....147,149 and 151 and multiplied together in all possible ways.The number of ways which will give us the product a multiple of 5 is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q25
sec-c
difficult
answered
Jun 20, 2014
by
sreemathi.v
1
answer
From 4 gentlemen and 6 ladies a committee of five is to be be selected.The number of ways in which the committee can be formed.So that gentlemen are in majority is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q24
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
ABCD is a convex quadrilateral 3,4,5 and 6 points are marked on the sides AB,BC,CD and DA respectively.The number of triangles with vertices on different sides is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q23
sec-c
difficult
answered
Jun 20, 2014
by
sreemathi.v
1
answer
An urn contains 3 red pens,4 green pens and 6 yellow pens.The number of ways of drawing 4 pens from the urn if atleast one red pen is to be included in the draw is (All the pens are different from each other).
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q22
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
A class has 30 students .We have to form a team of the students including atleast two students and also excluding atleast two students.The number of ways of forming the team is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q21
sec-b
medium
answered
Jun 20, 2014
by
sreemathi.v
1
answer
In a polygon no three diagonals are concurrent.If the total number of points of intersection of diagonals interior to the polygon be 70,then the number of diagonals of the polygon is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q20
sec-c
difficult
answered
May 20, 2014
by
sreemathi.v
1
answer
The number of different matrices that can be formed with elements 0,1,2 or 3 each matrix having 4 elements ,is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q19
sec-b
medium
answered
May 20, 2014
by
sreemathi.v
1
answer
In the decimal system of numeration the number of 6-digit numbers in which the sum of the digits is divisible by 5 is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q18
sec-a
easy
answered
May 20, 2014
by
sreemathi.v
1
answer
A five digit number divisible by 3 is to be formed using the numerals 0,1,2,3,4 and 5 without repetition.The total number of ways this can be done is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q17
sec-b
medium
answered
May 20, 2014
by
sreemathi.v
1
answer
How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that odd digits occupy even ositions
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q16
sec-b
medium
answered
May 20, 2014
by
sreemathi.v
1
answer
In a class of 20 students,every student had a hand shake with every other student.The total no of hand shakes were
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q15
sec-b
medium
answered
May 19, 2014
by
sreemathi.v
1
answer
The number of words of four letters containing equal number of vowels and consonants ,repetition allowed is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q14
sec-c
difficult
answered
May 19, 2014
by
sreemathi.v
1
answer
Four couples (husband and wife) decide to form a committee of four members.The number of different committees that can be formed in which no couple finds a place is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q13
sec-b
medium
answered
May 19, 2014
by
sreemathi.v
1
answer
A team of four students is to be selected from a total of 12 students.Total number of ways in which team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q12
sec-c
difficult
answered
May 19, 2014
by
sreemathi.v
1
answer
A variable name in certain computer language must be either a alphabet or a alphabet followed by a decimal digit.Total number of different variable names that can exist in that language is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q11
sec-b
medium
answered
May 19, 2014
by
sreemathi.v
1
answer
The number of possible outcomes in a throw of n ordinary dice in which atleast one of the dice shows and odd number is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q10
sec-a
easy
answered
May 19, 2014
by
sreemathi.v
1
answer
In an examination of a papers a candidate has to pass in more papers than the number of papers in which he fails in order to be successful.The number of ways in which he can be unsuccessful is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q9
sec-b
medium
answered
May 19, 2014
by
sreemathi.v
1
answer
If letters of the word 'KUBER' are written in all possible orders and arranged as in a dictionary,then rank of the word 'KUBER' will be
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q8
sec-b
medium
answered
May 19, 2014
by
sreemathi.v
1
answer
The numbers of five-digit telephone numbers having atleast one of their digits repeated
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q7
sec-b
medium
answered
May 19, 2014
by
sreemathi.v
1
answer
From 4 officers and 8 jawans,a committee of 6 is to be chosen to include exactly one officer.The number of such committees is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q6
sec-b
medium
answered
May 19, 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
additionalproblem
q5
sec-a
easy
answered
May 19, 2014
by
sreemathi.v
1
answer
The number of arrangements of letters of the word BANANA in which the two N's do not appear adjointly is
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q4
sec-b
medium
answered
May 19, 2014
by
sreemathi.v
1
answer
If $(k^2-k)C_2=(k^2-k)C_4$ then $k$ is equal to
cbse
math
class11
ch7
permutations-and-combinations
additionalproblem
q3
sec-a
easy
answered
May 19, 2014
by
sreemathi.v
1
answer
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