Suppose there is a machine that has an unlimited supply of eight different kinds of stickers. Each sticker is as likely to appear as another. Given this answer the following combinatorics problems: (i) Suppose you have one of every kind of sticker. How many ways can you split those stickers between three different people where every person has at least one sticker? Do not include yourself. And given that they are not sorted in any particular order. (ii) How many ways can three people each get a pair of stickers, where each pair is different? Given that it does not matter in which order a person receives the stickers in their pair, BUT it does matter which person gets which pair. (HINT: there are more then six possible stickers in this situation)
Suppose there is a machine that has an unlimited supply of eight different kinds of stickers. Each sticker is as likely to appear as another. Given this answer the following combinatorics problems:
(i) Suppose you have one of every kind of sticker. How many ways can you split those stickers between three different people where every person has at least one sticker? Do not include yourself. And given that they are not sorted in any particular order.
(ii) How many ways can three people each get a pair of stickers, where each pair is different? Given that it does not matter in which order a person receives the stickers in their pair, BUT it does matter which person gets which pair. (HINT: there are more then six possible stickers in this situation)
Step by step
Solved in 2 steps
