(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)

(b) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends, if every friend gets at least one sticker.

Guest Dec 29, 2022

#1**0 **

Partitions of 20, into at most 5 parts:

192 ways.

20 + 0 + 0 + 0 + 0

19 + 1 + 0 + 0 + 0

18 + 2 + 0 + 0 + 0

18 + 1 + 1 + 0 + 0

17 + 3 + 0 + 0 + 0

........and so on

Guest Dec 29, 2022