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 letters of the word OFFICES be arranged?

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the dig…

$$\left( {{}^{75}{P_2} - {}^{75}{C_2}} \right) = ?$$

In how many different ways can the letters of the word CORPORATION be arranged so that the vowels may occupy only the od…

How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alph…

There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be …

When six fair coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as he…