Week One SSWT Assignment
1)
Consider a group of five men and four women with the following hand shaking rules and
calculate how many possible handshakes there are:
•
Only men shake hands with each other. How many possible handshakes are there?
•
Men shake hands with both men and women but women do not shake hands with other
women. How many possible handshakes are there?
•
Everyone shakes hands with everyone else. How many possible handshakes are there?
•
Men shake hands with men and women with women but not men with women.
2)
Seven women are to play in a tennis tournament. Figure out the number of different possible
ways to start the first round of a tournament (three pairs) under the following rules:
•
It does not matter where the pairs play or who serves first.
•
It matters who is on which court (i.e. center court sells more tickets!)
•
It matters not only which court the pairs are on but who serves first as well.
3)
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 Spring '11
 FredPhelps
 Math, Natural number, Prime number, possible handshakes

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