If $$5{ \times ^{\text{n}}}{{\text{P}}_3} = 4{ \times ^{\left( {{\text{n}} + 1} \right)}}{{\text{P}}_{3,}}$$   …

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

A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the…

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

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 different ways can the letters the word FORMULATE be arranged?

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

After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all…