In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person i…

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associate. In how many different…

20 men handshake with each other without repetition. What is the total number of handshakes made?

A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of c…

In how many ways can six different rings be worn on four fingers of one hand?

a, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b, c, d, e) possible such that a + b + c …

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same na…

Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if N…