SOLUTION: How many ways can five women and two men can be seated on a chair if only three seats?

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Question 551818: How many ways can five women and two men can be seated on a chair if only three seats?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 5+2 = 7 people total and P(7,3) = (7!)/(7-3)! = (7!)/(4!) = 5040/24 = 210 ways to seat all of them in 3 seats (assuming order matters).


If order doesn't matter, then there are C(7,3) = (P(7,3))/(3!) = 210/6 = 35 different ways to seat them.