Stephanie needs to work 28 hour a week, but can only work 5 days a week. She can work 5, 6, 7 or 8 hour shifts. How many combinations of five add up to 28?

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I can only find one solution, involving 4 days:

1 day at 6 hrs

2 days at 7 hrs

1 day at 8 hrs

But I don't understand why you ask for a combination of 5. 5 whats?

Does she actually have to work 5 days?
by Level 11 User (81.5k points)
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It's happened again! The question was revised about an hour after first submission, so, to be fair, you should take anotherÂ shot at it, now that it makes more sense!

5-day work patterns:

(5,5,5,5,8), (5,5,5,6,7), (5,5,5,7,6), (5,5,5,8,5), (5,5,6,5,7), (5,5,6,6,6), (5,5,6,7,5), (5,5,7,5,6),

(5,5,7,6,5), (5,5,8,5,5), (5,6,5,5,7), (5,6,5,6,6), (5,6,5,7,5), (5,6,6,5,6), (5,6,6,6,5), (5,7,5,5,6),

(5,7,5,6,5), (5,7,6,5,5), (5,8,5,5,5), (6,5,5,5,7), (6,5,5,6,6), (6,5,5,7,5), (6,5,6,5,6), (6,5,6,6,5),

(6,6,5,5,6), (6,6,5,6,5), (6,6,6,5,5), (6,7,5,5,5), (7,6,5,5,5), (7,5,5,5,6), (7,5,5,6,5), (7,5,6,5,5),

(7,6,5,5,5), (8,5,5,5,5).
by Top Rated User (1.0m points)