There are 8 woman running in a race. how many different ways could, first, second, and third place finishers occur?

Step-by-step explanation:

It is given that woman are running in a race.

The number of ways in which we can choose first position is .

The number of ways in which we can choose second position after choosing first position is .

This is because,there can be women to finish second,but since one woman is already chosen to finish first,there can be only now.

Using similar discussion,The number of ways in which we can choose third position after choosing first position is .

So,

So,

So,there are ways to choose first,second an third positions when women are racing.

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