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Quick permutations question?

In how many ways can 4 jokes be ranked from best to worst from a list of 10?

A bit confused on what to do here. Would this be $4^{10}$ $4^10$ ?

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Answer 1 · 2017-12-22T20:31:40

$^{10} P_{4} = 5040$ $""^10 P_4 = 5040$

Explanation:

Given that you are choosing a list of $4$ $4$ items from $10$ $10$ , you will have $10$ $10$ possible choices for the first item, $9$ $9$ for the second, $8$ $8$ for the third and $7$ $7$ for the fourth.

So a total of $10 \times 9 \times 8 \times 7 = 5040$ $10xx9xx8xx7 = 5040$

This product is known as $^{10} P_{4} = \frac{10!}{(10 - 4)!}$ $""^10 P_4 = (10!)/((10-4)!)$

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Quick permutations question?

In how many ways can 4 jokes be ranked from best to worst from a list of 10?

A bit confused on what to do here. Would this be $4^{10}$ $4^10$ ?

1 Answer

Explanation:

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Impact of this question

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Math

Humanities

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Quick permutations question?

In how many ways can 4 jokes be ranked from best to worst from a list of 10? A bit confused on what to do here. Would this be 4^104104^10?

1 Answer

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In how many ways can 4 jokes be ranked from best to worst from a list of 10?

A bit confused on what to do here. Would this be $4^{10}$ $4^10$ ?