permutation examples - Interview Questions

permutation examples

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 ?

Answer : C. 64

In how many different ways the letters of the word ‘MATHEMATICS’ can be arranged so that the vowels always come together ?

Answer : C. 120960

A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours ?

Answer : B. 24

How many words can be formed from the letters of the word “AFTER”, so that the vowels never come together ?

Answer : C. 72

Evaluate permutation equation 59P3 ?

Answer : C. 195054

In how many ways, a group of 3 boys and 2 girls can be formed out of a total of 4 boys and 4 girls ?

Answer : D. 24

How many ways the letters of the word ‘ARMOUR’ can be arranged ?

Answer : D. 360