In how many ways can seven persons sit at a round table if they can sit on any chair?

A box contains 7 different marbles. In how many ways can you select 5 marbles for you to play with your younger sibling?

In how many ways can the letters of the word “LEADER” be arranged?

There are six persons in an office. A group consisting of three persons has to be formed. In how many ways can the group be formed?

In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must have 3 seniors?

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A jar contains 5 white balls, 8 black balls and 6 red balls. In how many ways can 5 balls be selected such that there are 2 red balls, 2 white balls and 1 black ball?

A box contains 5 red balls, 7 green balls and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color?

Out of 7 consonants and 4 vowels, how many words (with or without meaning) of 3 consonants and 2 vowels can be formed?

In how many different ways can the letters of the word “OPTICAL” be arranged so that the vowels always come together?

In how many different ways can the letters of the word “MATHEMATICS” be arranged such that the vowels must always come together?

. In how many different ways can the letters of the word “JUDGE” be arranged such that the vowels always come together?

In how many different ways can the letter of the word ‘RUMOUR’ be arranged if the consonants always come together?

What is C ( 6, 3) ?