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If the order matters, then there are (35 x 34 x 33 x 32 x 31) = 38,955,840 possibilities.

If the order doesn't matter, then there are 38955840 / (5 x 4 x 3 x 2) = 324,632 possibilities.

In other words, your chance of winning is about the same whether you buy a ticket or not.

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