The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is …

There are five comics numbered from 1 to 5. In how many ways can they be arranged, so that part-1 and part-3 are never t…

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

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

A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The s…

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

Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

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