Question

There are eight swimmers in a competition where the top three swimmers advance. in how many ways can three swimmers advance?

Answer 1

The number of ways in which three swimmers can advance is 56.

What is a combination?

The combination is the selection of items without taking the order of arrangement into consideration.

The formula used in calculating the combination is:

$\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}$

$\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}$

$\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}$

$\mathbf{C(n,r) = 8\times 7}$

C(n, r) = 56

Learn more about combinations here:

https://brainly.com/question/11732255

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