SOLUTION: The number of ways of choosing 4 people from 12 people is the same as choosing 8 people from 12 people. Why are they done in the same number of ways?

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Question 40315: The number of ways of choosing 4 people from 12 people is the same as choosing 8 people from 12 people. Why are they done in the same number of ways?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the equations using the formula:
C(n,r) = n!/((n - r)!r!)
........................................................................................................
C(12,4) = 12!/((8!)4!)
and
C(12,8) = 12!/((4!)8!)
They are the same.