SOLUTION: Abe, Brian, and Carmela share the responsibility of caring for the family pets. During a seven-day week, Abe and Brian each take three days and Carmela the other one. In how many d

Algebra ->  Permutations -> SOLUTION: Abe, Brian, and Carmela share the responsibility of caring for the family pets. During a seven-day week, Abe and Brian each take three days and Carmela the other one. In how many d      Log On


   



Question 143306: Abe, Brian, and Carmela share the responsibility of caring for the family pets. During a seven-day week, Abe and Brian each take three days and Carmela the other one. In how many different orders can the days of a week be assigned?
I'm not sure but i did this:
7!/(3!*3!*1!) and the answer I got is 140 different ways. Is this right?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Your answer is correct.
I didn't work it that way but I got the same answer:
[7C3][4C3][1C1] = 35*4*1 = 140
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Cheers,
Stan H.