1a. An ATM requires a four-digit PIN, using the digits 0-9. Howmany PINs have no repeated digits?
1b. How many ways can president and vice president be determinedin a club with twelve members?
1c. A security team visits 12 offices each night. How manydifferent ways can the team order its visits?
1d. In a certain lottery you select seven distinct numbers from1 through 39, where order makes no difference. How many differentways can you make your selection?
1e. First, second, and third prizes are to be awarded to threedifferent people. If there are ten eligible candidates, how manyoutcomes are possible?
1f. Three identical “Outstanding Teacher” awards are to awardedto three different people. If there are ten eligible candidates,how many outcomes are possible?
