Recent questions tagged ch7

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 $5C_3\times 20C_9$

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.

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!)$

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.

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 $2^n-1$

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

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 $(n-m)P_{r-m}\times rP_m$

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

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 $12C_2-5C_2$

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

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.

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

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

asked May 16, 2014 by sreemathi.v

1 answer

The number of six digit numbers,all digits of which are odd is

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

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 ________

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

asked May 16, 2014 by sreemathi.v

1 answer

$15C_8+15C_9-15C_6-15C_7$=_____

asked May 16, 2014 by sreemathi.v

1 answer

If $nP_r=840,nC_r=35$ then $r$=_______

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

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

asked May 16, 2014 by sreemathi.v

1 answer

The total number of 9 digit numbers which have all different digits is

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

asked May 16, 2014 by sreemathi.v

1 answer

The number of 5-digit telephone numbers having one of their digits repeated is

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

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

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

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

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

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

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

asked May 16, 2014 by sreemathi.v

1 answer

The number of different four digit numbers that can be formed with the digit 2,3,4,7 and using each digit only once is

asked May 16, 2014 by sreemathi.v

1 answer

The number of possible outcomes when a coin is tossed 6 times is

asked May 16, 2014 by sreemathi.v

1 answer

If $nC_{12}=nC_8$ then $n$ is equal to

asked May 16, 2014 by sreemathi.v

1 answer

A group consists of 4 girls and 7 boys.In how many ways can a team of 5 members be selected if the team has at least three girls

asked May 16, 2014 by sreemathi.v

1 answer

A group consists of 4 girls and 7 boys.In how many ways can a team of 5 members be selected if the team has at least one boy and one girl

asked May 16, 2014 by sreemathi.v

1 answer

A group consists of 4 girls and 7 boys.In how many ways can a team of 5 members be selected if the team has no girls

asked May 15, 2014 by sreemathi.v

1 answer

A sports team of 11 students is to be constituted,choosing at least 5 from class XI and 6 from XII.If there are 20 students in each of these classes,in how many ways can the team be constituted?

asked May 15, 2014 by sreemathi.v

1 answer

In how many ways can a football team of 11 players be selected from 16 players?How many of them will exclude 2 particular players?

asked May 15, 2014 by sreemathi.v

1 answer

In how many ways can a football team of 11 players be selected from 16 players?How many of them will include 2 particular players?

asked May 15, 2014 by sreemathi.v

1 answer

A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if they must all be of the same colour

asked May 15, 2014 by sreemathi.v

1 answer

A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if two must be white and two red

asked May 15, 2014 by sreemathi.v

1 answer

A bag contains six white marbles and five red marbles.Find the number of ways in which four marbles can be drawn from the bag if they can be of any colour

asked May 15, 2014 by sreemathi.v

1 answer

$18$ mice were placed in two experimental groups and one control group,with all groups equally large.In how many ways can the mice be placed into three groups?

asked May 15, 2014 by sreemathi.v

1 answer

A convex polygon has 44 diagonals.Find the number of its sides

asked May 15, 2014 by sreemathi.v

1 answer

In an examination a student has to answer 4 questions out of 5 questions;questions 1 and 2 are compulsory.Determine the number of ways in which the student can make choice.

asked May 15, 2014 by sreemathi.v

1 answer

In a certain city,all telephone numbers have six digits,the first two digits always being 41 or 42 or 46 or 62 or 64.How many telephone numbers have all six digits distinct.

asked May 15, 2014 by sreemathi.v

1 answer

If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent,in how many points will they intersect each other

asked May 15, 2014 by sreemathi.v

1 answer

Find the number of integers greater than 7000 that can be formed with the digits 3,5,7,8 and 9 where no digits are repeated

asked May 15, 2014 by sreemathi.v

1 answer

If $nC_{r-1}=36,nC_r=84$ and $nC_{r+1}=126$ then find $rC_2$

asked May 15, 2014 by sreemathi.v

1 answer

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