Project 1: 1. If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, how many different hands consist of the following: a. A straight flush? b. A straight (but not a straight flush)? C. Four of a kind? d. A full house? e. Two pair? 2. A mathematics professor uses a computerized test bank to prepare her final exam. If 25 different problems are available for the first three exam questions, 40 different problems are available for the next five questions, and 30 different problems are available for the last two questions, how many different ten-question exams can she prepare if: a. Assume order of the questions is important b. Assume order of the questions is not important 3. Evaluate a. 12! b. P(52,5) c. C(38,10) Directions: To evaluate n!, in a cell where you want the answer to appear, enter -FACT(n) and press Shift-Enter. To evaluate P(n,r), in a cell where you want answer to appear, enter -PERMUT(n,r) and press Shift-Enter. To evaluate C(n,r), in a cell where you want answer to appear, enter "COMBIN(n,r) and press Shift-Enter.