In how many ways Ram & Shyam can join four colleges if both do not join the same college.

There are five colleges in a city. In how many ways can a man send 3 of his sons to a college, if no two of his sons are to read in the same college ?

There are five colleges in a city. In how many ways can a man send 3 of his sons to a college, if no two of his sons are to read in the same college ?

In how many ways can 5 children be arranged in a line such that : two of them, Ram and Shyam are always together?

In how many ways can 5 children the arranged in a row such that two of them, Ram and Shyam, are always together? two of them, Ram and Shyam, are never together?

In a college team there are 15 players of whoom 3 are teachers . In how many ways can a team of 11 players be selected so as to include only one teachers

In a college team there are 15 players of whoom 3 are teachers . In how many ways can a team of 11 players be selected so as to include at least one teachers ?