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# GATE 2022: General Aptitude (Permutation & Combinations)

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Question 1

Five students all of different heights are to be arranged in a row in the order of their height. Find the number of possible arrangements.

Question 2

How many five-digit numbers can be formed using the digits 2, 3, 8, 7, 5 exactly once such that the number is divisible by 125?

Question 3

Find the number of ways of selecting 12 teams from 16 men and 16 women, such that each team consists of a man and a woman.

Question 4

The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digits allowed) is equal to :

Question 5

A teacher takes 3 children from her class to the zoo at a time as often as she can, but she doesn’t take the same set of three children more than once. She finds out that she goes to the zoo 84 times more than a child goes to the zoo, Total number of students in her class in equal to:

Question 6

There are 20 people among whom two are brothers. The number of ways in which we can arrange them around a circle so that there is exactly one person between those brothers is

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Jun 5ESE & GATE EE

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