The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionar…

In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

In how many different ways can the letters of the word ‘TRANSPIRATION’ be arranged so that the vowels always…

Out of 5 men and 3 women, a committee of three members is to be formed so that it has 1 women, and 2 men. In how many di…

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 'LEADING' be arranged in such a way that the vowels always come t…

In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?

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