Ally J.

asked • 11d

Permutations Help

A salesperson needs to visit 15

different offices during the week.

c) In how many ways could she visit three

different offices each day from Monday

to Friday?

I thought of it as 1st day 15x14x13, 2nd day 12x11x10, 3rd day 9x8x7.....until Friday.

Please explain how to do this question?

Michael M.

tutor
Getting the same thing Mike got. Another way you can think of it is 15! / (3! * 3! * 3! * 3! * 3!)
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11d

1 Expert Answer

By:

Ally J.

Thank you so much for your the help, but the solution had stated that it was 13,650. Just wasn't sure how they got that.
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11d

Mike D.

tutor
I don't think their solution is correct. Following your idea (which was good), you need to divide 6 x 6 x 6 x 6 x 6 because the order of offices each day doesnt matter. doing that gives 15! / 6x6x6x6x6 which gives my answer.
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10d

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