Question

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to distribute 8 different books among 21 children if no child gets more than one book?

Answer 1

BBB

Explanation:

Answer 2

Permutation is when the order of arrangement matters
Combination is when the order of arrangement does not matter

Distributing 8 different books among 21 children is a combination because the order of arrangement does not matter

The questions is 'how many ways to pick 8 from 21'


`(21!)/((21-8)!8!)= 203490` ways of distributing 8 books among 21 children