(a) In this case, Magnus can either give a sticker to a friend or not give a sticker to a friend. So each friend has 2 options, and since there are 12 friends, the total number of ways to give out the stickers is $2^{12}=\boxed{4096}$.
(b) In this case, we can think of it as first giving each friend one sticker, and then distributing the remaining 12-12=0 stickers. Since every friend already has a sticker, there are no restrictions on how to distribute the remaining stickers. So the total number of ways is the same as the number of ways to distribute 0 stickers among 12 friends, which is $\binom{12}{0}=\boxed{1}$.
(a) Find the number of ways that Magnus can give out 12 identical stickers to 12 of his friends. (Not everyone has to get a sticker.)
(b) Find the number of ways that Magnus can give out 12 identical stickers to 12 of his friends, if every friend gets at least one sticker.
1 answer
1 answer