The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of b...

The sum of all four-digit numbers that can be formed with the distinct non-zero digits $$ a, b, c, $...

In how many distinct ways can the letters of the word "SMART" be arranged, given that all letters a...

A committee of 5 members is to be formed from a pool of 3 trainees, 4 professors, and 6 research as...

In how many ways can the letters of the word "CAPITAL" be arranged such that the vowels always rema...

Six teachers are to stand in a row, where two are primary teachers, two are middle teachers, and tw...

From a group of 7 men and 6 women, a committee of 5 people must be formed such that the committee i...