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need help plz help

 

(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.

 Jan 19, 2023
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(a)

20 IDENTICAL stickers to 5 DIFFERENT friends:

 

[26 + 5 - 1] nCr 5 ==142,506 ways - with no restrictions.

 

(b)  Same as (a) above except everybody get " at least one sticker"

 

(26 - 1) nCr (5 - 1) ==25 nCr 4 ==12,650 ways

 

SOURCE:  https://en.wikipedia.org/wiki/Twelvefold_way

{See the table at the very bottom of the page. Item #7 for (a), item #9 for (b)}

 Jan 19, 2023

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