Re: First Midterm
John Hop-Doan Nguyen (154adjhn@pic.ucla.edu)
Mon, 20 Nov 95 19:16:42 -0800
Michael,
My answer to your question is that you first have to assume that both singers
can be on the same floor. Once that's been established, you can go through two
ways of solving the exact answer. The long way would be:
If Singer 1 chose the first floor, Singer 2 could choose floor 1, floor 2, or
floor 3. That means there are 3 total outcomes, or combinations, when Singer 1
chooses floor 1. If Singer 1 chooses floor 2, Singer 2 can choose floor 1,
floor 2, or floor 3. There are then only 3 outcomes when Singer 1 chooses
floor 2. The same logic applies if Singer 1 chooses floor 3. The total then
for the possible outcomes would be 3+3+3=9.
If that was confusing, then the easier way is to think how many ways floors can
Singer 1 choose from? Since there are 3 floors, she has 3 options. Likewise,
Singer 2 has 3 options to choose from. If you multiply their number of choices
you get 3^2=9. I hope this helps...
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