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Rudiy27
2 years ago
8

A chef has 8 brands of hot sauce. In how many ways can the chef pick 3 to mix into a gumbo?

Mathematics
1 answer:
Tatiana [17]2 years ago
5 0
<h3>Answer:  56</h3>

How to get that answer:

If order mattered, then there would be 8*7*6 = 336 different permutations of sauces. I started with 8 and counted down by 1 until three slots were filled.

That 336 value would be the answer if order mattered; however, it does not matter. For any grouping of three, there are 3*2*1 = 6 ways to order that specific group. This indicates the 336 is too large by a factor of 6.

To fix this, we divide by 6 and we get 336/6 = 56

There are 56 ways to pick the 3 brands from the 8 overall brands to choose from.

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