Permutation & Combination Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1

A boy has 3 library cards and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part II unless Chemistry part I is also borrowed. In how many ways can he choose the three books to be borrowed ?

a) 26

b) 27

c) 41

d) 56

e) None of these

Question : 2

In how many different ways can be letters of the word 'CYCLE' be arranged?

a) 30

b) 4240

c) 80

d) 120

e) None of these

Question : 3

How many different ways can the letters in the word ATTEND be arranged?

a) 240

b) 120

c) 80

d) 60

e) None of these

Question : 4

The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by :

a) 5! × 4!

b) 30

c) 7! × 5!

d) 6! × 5!

e) None of these

Question : 5

In how many different ways can the letters of the word 'PROBLEM' be arranged ?

a) 5040

b) 720

c) 980

d) 5060

e) None of these