How many diagonals can be drawn in a pentagon?

How many words can be formed by re-arranging the letters of the word <b>ASCENT</b> such that A and T occupy …

How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, withou…

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together…

What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such th…

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…

Jay wants to buy a total of 100 plants using exactly a sum of Rs. 1000. He can buy Rose plants at Rs. 20 per plant or ma…

In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one …