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Suppose that there is a lottery where you select 3 different numbers between 0 and 9. A digit cannot be selected twice so you can

Suppose that there is a lottery where you select 3 different numbers between 0 and 9. A digit cannot be selected twice so you can select 123 but not 112.

a. How many different three digit numbers are possible?

b. If you buy one ticket, what is the likelihood you will win?

c. If you buy 3 tickets, what is the likelihood you will lose?

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