SOLUTION: Prizes are to be awarded to four different members of a group of 8 people.Find the number of ways in which the prizes can be awarded if there are 2 first prizes and 2 second prizes

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Question 988244: Prizes are to be awarded to four different members of a group of 8 people.Find the number of ways in which the prizes can be awarded if there are 2 first prizes and 2 second prizes?
Answer by Shai(25) About Me  (Show Source):
You can put this solution on YOUR website!
Given an 8 member group
Prizes are to be rendered to 4
of them:2 first prizes and 2 second
Hence for the first prize:
8C2
For the second prizes:
6C2(why 6 because 2 of the members have
Already been bestowed with a prize)
So the total:(8C2 + 6C2)
43