In a race, there are 9 runners. Trophies for the race are awarded to the runners finishing in first
through third place.
In how many ways can first through third place be determined?
O 27
O 84
O 60,480
O 504

Respuesta :

Answer:

504

Step-by-step explanation:

The number of ways that the first place to the third place can be determined are 504 ways.

This question relates to a combination function. Therefore, the way to solve the question will be:

= 9!/9-3!

= 9!/6!

= (9×8×7×6×5×4×3×2×1) / (6×5×4×3×2×1)

= 9 × 8 × 7

= 504

Therefore, the number of ways that the first place to the third place can be determined are 504 ways.

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