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Lana71 [14]
2 years ago
6

Help me plssssssssss

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
3 0
Pretty sure it’s d(all of the above)
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A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa
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Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

= \frac{1235520}{720}

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jek_recluse [69]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The filling in of the formula for the n-th term is pretty straightforward. The attachment shows how simple it is.

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