In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come t…

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

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways c…

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

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

A committee of 5 members is to be formed by selecting out of 4 men and 5 women. In how many different ways the committee…

In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas…