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I can't get the answers here

 

(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 28, 2023
 #1
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b)

give them one each to start with then there are 15 stickets left

 

lie up the stickers  divide them into  5 bundles (some bundeles can be empty) the order of the bundles count becasue they are to be given to the five friends who are standing in a row.

 You need 4 dividers to do this

so you have 15+4 items = 19

 

19C4 = 3876 ways.

 

Use the same logic to get a)

 

This technique is called stars and bars method if you want to look that up.

 Jan 28, 2023

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