SOLUTION: Lotto Max is won by choosing 7 winning numbers from the number 1 to 49. In how many ways can a person match 4 winning numbers?

Algebra ->  Permutations -> SOLUTION: Lotto Max is won by choosing 7 winning numbers from the number 1 to 49. In how many ways can a person match 4 winning numbers?      Log On


   

Question 1168186: Lotto Max is won by choosing 7 winning numbers from the number 1 to 49. In how many ways can a person match 4 winning numbers?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Lotto Max is won by choosing 7 winning numbers from the number 1 to 49. In how
many ways can a person match [EXACTLY] 4 winning numbers?
There are C(7,4) to pick EXACTLY 4 of the winning numbers (no more!).
There are C(42,3) to pick the other 3 as non-winning numbers.

So there are C(7,4)C(42,3) = 401800 ways to pick EXACTLY 4 winning numbers.

Edwin