Permutation & Combination

How many different ways can the letters of the word "MOM" be arranged?

• 2

• 3

• 4

• 6

Answer explanation

How many subsets of size 2 can be formed from {1,2,3,4,5}?

• 5

• 10

• 20

• 25

Answer explanation

How many ways can 4 boys and 4 girls be seated alternately in a row?

• 288

• 576

• 1152

• 40320

Answer explanation

Number of ways to distribute 5 identical balls into 3 different boxes so that no box remains empty?

• 6

• 7

• 10

• 15

Answer explanation

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

• 45

• 63

• 90

• 115

Answer explanation

Refer indiabix

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

• 120

• 720

• 1024

• 2048

Answer explanation

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

• 32

• 48

• 64

• 72

Answer explanation

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?

• 5

• 10

• 15

• 20

Answer explanation

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

• 210

• 1050

• 25200

• 32600

Answer explanation

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

• 72

• 360

• 720

• 1440

Answer explanation