At a gymnastics meet, twenty gymnasts compete for first, second, and third place.

How many ways can first, second, and third place be assigned

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

We will use the concept of permutation

[tex]^{20}P_3[/tex]= 20!/ (20-3)!

= 20*19*18*17!/ 17!

= 6840 ways.

Hence, there are 6840 ways.

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At a gymnastics meet, twenty gymnasts compete for first, second, and third place. How many ways can first, second, and third place be assigned

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What is Permutation?

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At a gymnastics meet, twenty gymnasts compete for first, second, and third place.

How many ways can first, second, and third place be assigned