Respuesta :
336
Step-by-step explanation:
It is given that [tex]8[/tex] woman are running in a race.
The number of ways in which we can choose first position is [tex]8[/tex].
The number of ways in which we can choose second position after choosing first position is [tex]7[/tex].
This is because,there can be [tex]8[/tex] women to finish second,but since one woman is already chosen to finish first,there can be only [tex]7[/tex] now.
Using similar discussion,The number of ways in which we can choose third position after choosing first position is [tex]6[/tex].
So,[tex]\text{total number of ways}=\text{number of ways position 1 is chosen}\times\\\text{number of ways position 2 is chosen}\times \text{number of ways position 3 is chosen}[/tex]
So,[tex]\text{total number of ways}=8\times 7\times 6=336[/tex]
So,there are [tex]336[/tex] ways to choose first,second an third positions when [tex]8[/tex] women are racing.
