AMC / AIME · Permutations · Easy

Permutations: How many ways can math different prizes be awarded to math people, with no repeat winner?

Ordered arrangements.

Try the problem

How many ways can 22 different prizes be awarded to 55 people, with no repeat winner?

Hint and answer

Concept to use

$n!$.

Hint

Order matters: use a falling product.

Answer

20

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