How many factors of 2<sup>5</sup> × 3<sup>6</sup> × 5<sup>2</sup> are pe…

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

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…

How many diagonals can be drawn in a pentagon?

In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of t…

How many natural numbers less than a lakh can be formed with the digits 0,6 and 9?

A committee of 5 members is to be formed out of 3 trainees, 4 professors and 6 research associate. In how many different…

How many arrangements of four 0's (zeroes), two 1's and two 2's are there in which the first 1 occur before the first 2?