Meeting in a Hospitality Suite Amie Carobrese, Bruce Collin, Corey Chapman, Dwayne Coy, an...

Meeting in a Hospitality Suite Amie Carobrese, Bruce Collin, Corey Chapman, Dwayne Coy, and Eric Cobbe plan to meet at the hospitality suite after the CEO makes his speech at the January sales meeting of their publishing company. Denoting these five people by A, B, C, D, and E, list all the possible sets of this group in which the given number of them can gather.

Selecting Bills Suppose you have the bills shown here.

(a) If you must select at least one bill, and you may select up to all of the bills, how many different sums of money could you make?

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(b) In part (a), remove the condition “you must select at least one bill.” How many sums are possible?