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.
+2666 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.
+2666 If each person has 1, there are 20 - 5 = 15 stars and 5 - 1 = 4 bars.
Can you take it from here?
