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Started by
AddisonPatton
· started 2019-08-15 20:52
· last activity 2019-08-16 19:17
· 3 replies
I do not understand why 5 is the answer. Because if either 1 or 3 has to be cleaned on Monday morning, wouldn't that mean that there would be only 4 other possible streets left to clean on Friday afternoon? (5, 6, 2, and whichever one of 1 & 3 that wasn't cleaned on Monday morning)
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Irina
· 2019-08-16 00:55
@AddisonPatton,
The question asks which one of the following streets could be cleaned on Friday afternoon. We have determined the cleaning schedule for streets 8,4, and 7, thus, streets 1,2,3,5, and 6 are available. It is true 1 or 3 could go on M am but either 1 or 3 could also go on F pm, nothing in the rules tells us that only 1 or 3 could go on F pm. It is true that we cannot clean both streets 1 & 3 on F pm, but this rule applies to every street, it is one street per time slot. This question simply asks how many possible scenarios there are for the F pm time slot.
Let's illustrate all the possible scenarios for F pm:
am 1 4 3 7 X
pm 8 6 X 2 5
M T W Th F
am 1 4 3 7 X
pm 8 6 X 5 2
M T W Th F
am 1 4 6 7 X
pm 8 5 X 2 3
M T W Th F
am 3 4 6 7 X
pm 8 5 X 2 1
M T W Th F
am 1 4 3 7 X
pm 8 5 X 2 6
M T W Th F
These scenarios demonstrate that in a valid cleaning schedule, F pm slot could be occupied by the streets 1, 2, 3, 5 or 6.
Does this make sense?
Let me know if you have any further questions.
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AddisonPatton
· 2019-08-16 04:05
Okay. That makes sense. Thank you.
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Ravi
· 2019-08-16 19:17
@AddisonPatton, let us know if you have any other questions!
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