Bill and Hillary go to dinner with two other couples. Some handshakes are exchanged, but no one shakes hands with their spouse, with themselves, or with anyone else more than once. When Bill asked each person how many handshakes they had exchanged, they reported 0, 1, 2, 3, and 4. How many handshakes had Hillary exchanged?
(Due April 18, 2008)
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4 comments:
2 handshakes
Hillary exchanged handshakes TWICE.
Both Ho Yi and Eric made assumptions in their solutions that may or may not be true. For example, in one solution it is assumed that Bill shakes hands four times while in the other solution, it is assumed that Bill shakes hands twice. It is important to explain why either one must be true. What if Bill shakes hands four times, will that change the final answer? How do we figure out (without assuming) how many handshakes Bill made? Is that answer important?
Hillary exchanged 2 handshakes. The reason she exchanged 2 handshakes is because there were two couples and she only exchanged handshakes with the men, not the women which are the spouses. So she only exchanged 2 handshakes.
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