Question

Randal is an overworked clerk in a store that is open 5 days a week, 10 hours a day, with clerks working 5-hour shifts. Randal gets exactly 2 days off (that is, 2 days where the store is open, but Randal isn't working) each week, but they are not necessarily 2 days in a row. On workdays, Randal always works the earlier shift, but sometimes has to work a double shift (work the whole 10 hours). Next week, Randal has to work 2 double shifts. How many different schedules could Randal have next week? A. (72)(23) B. (5^2)(5^2)(2^1) C. (5^2)(5^2) D. (7^1) E. (5^2)(2^1)

          Randal is an overworked clerk in a store that is open 5 days a week, 10 hours a day, with clerks working 5-hour shifts. Randal gets exactly 2 days off (that is, 2 days where the store is open, but Randal isn't working) each week, but they are not necessarily 2 days in a row. On workdays, Randal always works the earlier shift, but sometimes has to work a double shift (work the whole 10 hours). Next week, Randal has to work 2 double shifts. How many different schedules could Randal have next week?

A. (72)(23)
B. (5^2)(5^2)(2^1)
C. (5^2)(5^2)
D. (7^1)
E. (5^2)(2^1)

Added by Cory M.

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