Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number …

In how many different ways can letters of the word OFFICES 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…

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The s…

In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 question…

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 EXTRA be arranged so that the vowels are never together?