Permutation and Combination Problems and Solutions - Interview Questions

Permutation and Combination Problems and Solutions

There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed ?

Answer : D . 3200

In how many ways, the letters of the word ‘BANKING’ can be arranged ?

Answer : D. 2520

In how many different ways, can the letters of the word ‘INHALE’ be arranged ?

Answer : A. 720

8 men entered a lounge simultaneously. If each person shakes hand with the other, then find the total no. of handshakes ?

Answer : C. 28

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

Answer : C. 120960

Evaluate permutation equation 59P3 ?

Answer : C. 195054

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

Answer : C. 25200

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