Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numb…

There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake…

A student is required to answer 6 out of 10 questions divided into two groups each containing 5 questions. He is not per…

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

From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to inc…

In how many different ways can the letters of the word AUCTION be arranged in such a way that the vowels always come tog…

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

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