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

In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same na…

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

Find the number of ways in which 8064 can be resolved as the product of two factors?

In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women ?

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may …

Six boxes are numbered 1, 2, 3, 4, 5 and 6. Each box must contain either a white ball or a black ball. At least one box …