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Select the correct answer from each drop-down menu.
The state swim meet has 27 swimmers competing for first through fourth place in the 100-meter butterfly race.

Complete the statement describing this situation.

This is an example of a ..... There are ....... possible arrangements of first through fourth place winners.

First blank
combination
Permutation

second blank
17550
108
421,200
9,687,600

Respuesta :

Answer:

first blank is "Permutation", i dont know what the second blank is but its not 17550

Step-by-step explanation:

This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.

What is permutation?

"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."

We need to arrange 27 swimmers for 4 positions

Hence, the numbers are 27P4

= [tex]\frac{27!}{(27-4)!}[/tex]

[tex]=\frac{27.26.25.24.23!}{23!}[/tex]

[tex]=421,200[/tex]

Hence, the given situation is an example of permutation with 421,200 possible arrangements.

To learn more about permutation here

https://brainly.com/question/1216161

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