Five people get into an elevator. There are seven floors on which they can get off.
Suppose that two people exit on the same floor and everyone else on different floors (4 floors altogether); What is the total number of different ways they can do this?
Suppose that everyone exits on a different floor; What is the total number of different ways they can do this?
Suppose three people exit on one floor and the other two on two different floors (3 floors altogether); What is the total number of different ways they can do this?
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