Question

Ten runners join a race. In how many possible ways can they be arranged as first, second, and third placers?

Answer 1

in 720 Possibles ways Ten runners can be arranged  as first, second, and third placers

Step-by-step explanation:

Ten runners join a race

First Position can be taken by any of 10 runners , hence 10 ways

Second Position can be Taken by any of remaining 9 runners in 9 ways

Third Position can be Taken by any of remaining 8 runners in 8 ways

Total number of Ways = 10 * 9 * 8  = 720

Another way 3 Out of 10 need to selected where order  matters

= ¹⁰P₃  

= 10!/7!

= 10 * 9 * 8

= 720

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