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

A man positioned at the origin of the coordinate system. the man can take steps of unit measure in the direction North, …

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

Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many w…

In an examination there are three multiple choice questions and each question has 4 choices. The number of ways in which…

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

There are five comics numbered from 1 to 5. In how many ways can they be arranged, so that part-1 and part-3 are never t…

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?