Permutation & Combination

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

From a group of 7 men and 6 women, a committee of 5 people must be formed such that the committee includes at least 3 m...

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

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

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

The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most ...