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

In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?

In how many different ways can the letters of the word CAPITAL be arranged so that the vowels always come together?

In how many different ways can the letters of the word ‘TRANSPIRATION’ be arranged so that the vowels always…

In how many different way can the letters of the word WEDDING be arranged?

A box contains 2 white, 3 black and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least 1 black…

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

There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertic…