Answer:
Total number of ways are 336.
Step-by-step explanation:
It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find [tex]^8P_3[/tex].
Here, r = 3
So,
[tex]^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336[/tex]
So, there are 336 ways.
