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Helppp on problem

 

(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 23, 2023
 #1
avatar+2532 
+1

a) Use stars and bars. There are 20 stars (stickers) and 5 - 1 = 4 bars

 

So, there are \({20 + 4 \choose 4} = \color{brown}\boxed{10,626}\) ways to choose.

 
 Jan 23, 2023
 #2
avatar+2532 
+1

If each person has 1, there are 20 - 5 = 15 stars and 5 - 1 = 4 bars. 

 

Can you take it from here?

 
 Jan 23, 2023

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