I am having a huge brainfart because I am having trouble with the calculations of the odds of winning a lottery. The formula for the possible combinations for n numbers in k places is
C(n,k) = n! / (k! (n-k)!)
For some reason I cannot understand why there is a k! in the denominator. I would think it should be:
= n! / (n-k)!
so if n=50 and k=5 then I think it should be
50!/(50-5)! = 254,251,200
but its not, it is
50! / (5! * (50-5)!) = 2,118,760
What the hell am I missing, can somone please explain it to me?
2006-12-21
08:27:51
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3 answers
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asked by
E
5
in
Mathematics