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Revision Quiz | Permutation and Combination

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Question 1

In a party every person shakes hands with every other person. If there are 105 hands Shakes, find the number of persons in the party?

Question 2

A committee of 5 is to be formed out of 9 Ladies and 8 men. If the committee demands a lady majority, then find the number of ways this can be done is

Question 3

How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated

Question 4

The number of ways of arranging the letters of the word DEVIL so that neither D is the first letter nor L is the last letter is

Question 5

Let A= {x|x is a prime number and x<30} . The number of different rational numbers, whose numerator and denominator belongs to A:

Question 6

A die is rolled three times. Find the number of ways that the sum of the results is 11.

Question 7

A committee of 5 is to be formed from 6 boys and 5 girls. The number of ways so that the committee can be formed so that the committee contains at least one boy and one girl having majority of boys is

Question 8

Find the number of ways in which 4 blue, 3 green and 2 red discs can be arranged in a rack if the discs color cannot be distinguished if placed in the disc rack.

Question 9

A person can go from place “P” to “Q” by 7 different modes of transport, but is allowed to return back to “P” by any mode other than the one used earlier. In how many different ways can he complete the entire journey?

Question 10

From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?

Question 11

There are 20 questions in a question paper. If no two students solve the same combination of questions but solve equal number of questions then the maximum number of students who appeared in the examination is-

Question 12

Find the number of natural numbers which are smaller than 10⁴, where all the digits are distinct.

Question 13

The number of proper divisors of 2160 is

Question 14

Find the ratio of number of three digit odd number to three digit even numbers formed using the digits

and

Question 15

In a round table conference of 8 people, it is predecided that Rajesh, Suresh and Sourav will sit separately as they continuously talk to each other. Find the number of ways in which this arrangement is possible.

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Mar 18JEE & BITSAT