SOLUTION: The question: "Each week, Mark does the dishes on 4 days and Lisa does them on the remaining 3 days. In how many different orders can they choose to do the dishes? (Hint: This is a

Question 828365: The question: "Each week, Mark does the dishes on 4 days and Lisa does them on the remaining 3 days. In how many different orders can they choose to do the dishes? (Hint: This is an arrangement of 7 things with repetition).
Hello Tutor,
What I know from this question is 7 days in a week, 4 for Mark, 3 for Lisa. I believe repetition means something like: 5x3x2x1 or 5!.
Although I'm not sure, I believed the equation is: 7!/(4!3!).
Is that correct?
Thank you very much in advance!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I agree with your solution.
is the number of ways Lisa can pick her 3 days,
or the number of ways Mark can pick his 4 days.
The result is the same. There are 35 different ways of doing it, and it does not matter who gets to choose.

The hint is misleading. The way I see it, there is no repetition.
Lisa is choosing a set of 3 different days out of the 7 days in a week.
If order mattered, she would get ordered lists of 3 days,
but since the same 3 days picked in different order are the same set of 3 days
we divide by the number of ways that each set can be ordered, which is
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