12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs num…

In how many ways can seven friends be seated in a row having 35 seats, such that no two friends occupy adjacent seats?

In how many ways can six different rings be worn on four fingers of one hand?

From a group of 7 men 6 women, 5 persons are to be selected to form a committee so that at least 3 men are there on the …

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 fr…

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

In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person i…

In how many ways can the letters of the word ‘MOMENT’ be arranged?