In how many ways can we get a sum of at most 17 by throwing six distinct dice?

In how many ways can we get a sum greater than 17 by throwing six distinct dice.

In how many ways can 6 persons stand in a queue?

In how many ways 5 persons can be seated in a row ?

In how many ways five persons can stand in a row ?

In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?

In how many ways can 8 students be arranged in a row?

In how many ways can the letters of the word PENCIL be arranged so that N is always next of E.

In how many ways can one choose 5 books from 10 different books?

In how many ways can the letters of the word 'GLOOMY' be arranged so that the two O's should not be together?