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 different ways can the letters of the word CORPORATION be arranged so that the vowels may occupy only the od…

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

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

In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of t…

In a cricket match if a batsman score 0, 1, 2, 3, 4 or 6 runs of a ball, then find the number or different sequences in …

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

A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random…