List of top Mathematics Questions on Permutation and Combination asked in OJEE

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

The number of ways in which the letters of the word "BUSINESS" can be arranged so that the vowels always come together is

From a group of 5 men and 7 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. The number of ways this can be done is

The number of 3 digit numbers that can be formed with \( S = \{0,1,2,3,\dots,8\} \) when repetitions are allowed is

On a shelf, 2 books of History, 3 books of Philosophy, and 5 books of Economics are to be arranged in such a way that the books of any subject are kept together. The number of ways this can be done is