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?

## 1 Expert Answer

Mike D. answered • 11d

Effective, patient, experienced math tutor who can help you succeed

You can choose the Monday offices in C (15,3) ways

Having chosen those , on Tuesday she can choose C (12,3)

Wednesday C (9,3)

Thursday C (6.3)

Friday C (3,3)

So C(15,3) x C (12,3) x C (9,3) x C (6,3) x C(3,3)

= 455 x 220 x 84 x 20 x 1 = 168, 168, 000 ways

Order of the offices on a specific day isn't important

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.11d

Mike D.

10d

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Michael M.

11d