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Ezra works in a department store on weekends. Each shift he works 03 Sep 2019, 08:38
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E
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45% (medium)

Question Stats:

62% (01:11) correct 38% (01:37) wrong based on 537 sessions

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Ezra works in a department store on weekends. Each shift he works, Ezra can be assigned to any one of 5 departments. Before the weekend Ezra is given a schedule showing the assignments he has for the 3 shifts he will work. How many different possible schedules are there which Ezra could have received?


(A) 15

(B) 25

(C) 60

(D) 100

(E) 125
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E
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b4bschool
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Ezra works in a department store on weekends. Each shift he works 03 Sep 2019, 14:05
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He can be assigned to any of the 5 departments so 5 * 5 * 5 = 125
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Bunuel
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Ezra works in a department store on weekends. Each shift he works 03 Sep 2019, 21:10
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Ezra works in a department store on weekends. Each shift he works, Ezra can be assigned to any one of 5 departments. Before the weekend Ezra is given a schedule showing the assignments he has for the 3 shifts he will work. How many different possible schedules are there which Ezra could have received?


(A) 15

(B) 25

(C) 60

(D) 100

(E) 125

How is the answer 125? can anyone elaborate?
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The questions assumes that it's not necessary Ezra to be assigned to different departments each shift. So, for the 3 shifts, he can be assigned to AAA, AAB, AAC, ..., EEE. Basically for each shift he has 5 options and thus the answer is 5*5*5 = 125.

Answer: E.
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Ezra works in a department store on weekends. Each shift he works 03 Sep 2022, 20:58
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5C1 - 1 shift
5C1 - 2 shift
5C1 - 3 shift

5 * 5 * 5 = 125
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Ezra works in a department store on weekends. Each shift he works 08 Mar 2026, 22:11
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In this question since schedule is given thus the order does matter right? In case there was a partition problem and asked in how many ways can we divide the ppl then answer is divided by 3! right?

Bunuel


The questions assumes that it's not necessary Ezra to be assigned to different departments each shift. So, for the 3 shifts, he can be assigned to AAA, AAB, AAC, ..., EEE. Basically for each shift he has 5 options and thus the answer is 5*5*5 = 125.

Answer: E.
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