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Diano4ka-milaya [45]

3 years ago

15

How many subsets of five elements each can be made from a set of seven elements?

1 answer:

Alina [70]3 years ago

8 0

<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula. The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get: 7! / (5!*2!) = 7*6 / 2 = 21 21 subsets can be created</span>

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Answer:

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Step-by-step explanation:

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And we want to solve for the height h.

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Now, divide both sides by $2\pi r$ . This yields:

$h=\frac{SA-2\pi r^2}{2\pi r}$

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