help with counting

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(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 21, 2022

Guest · Answer 1 · 2022-12-21T01:00:43

A computer code written in C++ gives:

10,626 ways

Using combinatorics, we have:

[20 + 5 - 1] C [5 - 1] ==24 C 4 == 10,626 ways