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timofeeve [1]
1 year ago
13

Hello can you please explain step by step how to work this out. It’s my first time doing it.

Mathematics
1 answer:
Colt1911 [192]1 year ago
8 0

We have a total set of 15 people, we need to arrange them in 4 spots, where each individual must be unique. Therefore we have:

\text{ Combinations}=15\cdot14\cdot13\cdot12=32760

There are 32760 possible solutions.

We then need to choose 12 appetizers from a set of 16 appetizers, where each individual appetizer must be unique, so we have:

\text{Combinations}=\frac{16!}{(16-12)!}=\frac{16!}{4!}=871782912000

There are 871782912000 possible solutions.

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