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

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such…

How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?

While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants,6 shirts, 3 sweater an…

$$\left( {{}^{75}{P_2} - {}^{75}{C_2}} \right) = ?$$

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…

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