In how many different ways can the letters of the word OPERATE be arranged ?

In how many different ways can the letters of the word AWARE be arranged?

The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is …

There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be …

In how many different ways can the letters of the word MACHINE be arranged so that the vowels may occupy only the odd po…

The number of positive integers which can be formed by using any number of digits from 0, 1, 2, 3, 4, 5 without repetiti…

In how many ways can a committee of 4 people be chosen out of 8 people?

What is the value of 1 × 1! + 2 × 2! + 3 × 3! + . . . . . . . . n × n!<br /> where n! mea…