SOLUTION: How many ways can 5 boys be seated in a row of 7 chairs?

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Question 1064613: How many ways can 5 boys be seated in a row of 7 chairs?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Let the boys be A,B,C,D, and E

Choose a chair for A any one of 7 ways.

That leaves 6 seats remaining to choose for B,C,D, and E.

Choose a chair for B any one of those remaining 6 ways.

That leaves 5 chairs remaining to choose for C,D, and E.

Choose a chair for C any one of those remaining 5 ways.

That leaves 4 chairs remaining to choose for D and E.

Choose a chair for D any one of those remaining 4 ways.

That leaves 3 chairs remaining to choose for E.

Choose a chair for E any one of those remaining 3 ways.


Answer 7𡑭𠪓 = 2520 ways.

Edwin