If you pick 4 numbers in the lottery from the set 1 2 3 thru 19 20 How many ways are there to play this lottery game order does not matter?
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Answer:
A selection in which the order is not important is called a combination. So, 20C4 = 20!/[(20 - 4)!4!] = 20!/(16!4!) = (20 x 19 x 18 x 17 x 16!)/(16! x 4 x 3 x 2 x 1) Simplify 16! with 16!, 24 with 4, 18 with 3 x 2 = 5 x 19 x 3 x 17 = 4,845
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