# math help!

A lottery game asks you to pick 5 numbers from the set 1, 2, 3, ... , 29, 30. How many ways are there to play this lottery game? (Assume that this is a game where the order of your picks does NOT matter.)
A) 27,405
B) 84,825
C) 593,775
D) 142,506

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1. 30! = 2 ^ 26 * 3 ^ 14 * 5 ^ 7 * 7 ^ 4 * 11 ^ 2 * 13 ^ 2 * 17 * 19 * 23 * 29

= 2.652528598 * 10^32

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2. 30C5=30!/(5!x25!)=142,506

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3. How many different 5-person subcommittees can be formed from a club having 13 members?

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