When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as he…

If the letters of the word <strong>SACHIN</strong> are arranged in all possible ways and these words are wri…

A family consist of a grandfather, 5 sons and daughter and 8 grandchildren. They are to be seated in a row for dinner. T…

Six boxes are numbered 1, 2, 3, 4, 5 and 6. Each box must contain either a white ball or a black ball. At least one box …

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together…

Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numb…

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

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associates. In how many differen…