1a. An ATM requires a four-digit PIN, using the digits 0-9. How many PINs have no...

1a. An ATM requires a four-digit PIN, using the digits 0-9. How many PINs have no repeated digits?

1b. How many ways can president and vice president be determined in a club with twelve members?

1c. A security team visits 12 offices each night. How many different ways can the team order its visits?

1d. In a certain lottery you select seven distinct numbers from 1 through 39, where order makes no difference. How many different ways can you make your selection?

1e. First, second, and third prizes are to be awarded to three different people. If there are ten eligible candidates, how many outcomes are possible?

1f. Three identical “Outstanding Teacher” awards are to awarded to three different people. If there are ten eligible candidates, how many outcomes are possible?

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Expert Solution

Colby Messinger answered 1 year ago

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