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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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Q: If you pick 4 numbers in the lottery from the set 1 2 3 through 19 20 How many ways are there to play this lottery game order does not matter?
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