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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)

Replies

  1. 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.
  2. AddisonPatton · 2019-08-16 04:05

    Okay. That makes sense. Thank you.
  3. Ravi · 2019-08-16 19:17

    @AddisonPatton, let us know if you have any other questions!

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