Combinatorics:
1) nine people need to be assigned to nine seats in a row. how many different assignments can be made?
2) nine people need to be assigned to nine seats in a row but now 5 people need o be placed in the left 5 seats and the remaining four people need to be placed in the remaining 4 seats, on the right. how many different assignments can now be made?
3) is there a difference in the two answers? if so, why?
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