The game requires us to assign 6 doctors - G H K L N P - to 7 days - Su M T W Th F Su The following rules apply: (1) The same doctor is assigned to Sa/Su (2) G is assigned to one day, so he cannot be assigned to Sa/ Su (3) GK v KG (4) ~(NH v HN) (5) P = Tu
__. __ P. __. __. __. __ Su. M. T. W. Th. F. S
The question asks us if L is assigned on W, which of the following could be true? Since it is a could be true questions, all the incorrect answer choices MUST BE FALSE.
Let's diagram this scenario:
__. __ P. L. __. __. __ Su. M. T. W. Th. F. S
We have four doctors left to assign - G K H N. We know that GK must be assigned to consecutive days in either order and G cannot be assigned to S or Su, so H N cannot be assigned to consecutive days, so the only days H & N could go are either Su and Th, M and Th or M and F, but if H & N are assigned to S & Th or M & F, this leaves no two consecutive days for GK:
H. __ P. L. N/H.__. H/N Su. M. T. W. Th. F. S
Thus H & N must be assigned to M & Th:
__. H/N P. L. H/N. __. __ Su. M. T. W. Th. F. S
Since G cannot be assigned to S/Su, it must be assigned to F, and the remaining doctor - K to Sa/ Su:
K. H/N P. L. H/N. G K Su. M. T. W. . Th. F. S
Out of the answer choices, only (E) could be true, H or N could be assigned to Th.
Let me know if this makes sense and if you have any further questions.
emilylcrawfordon September 28, 2023
If we put K in Sunday and Saturday, then why doesn't G have to go in Monday AND Friday if rule 3 tells us that G and K must always go before or after each other? Or is the rule telling us it only has to go after the one G?
Emil-Kunkinon September 28, 2023
We are only allowed to have one G in this game. It's important to read the rule closely, here rule three tells us that G must be immediately next to A day on which K is, not next to every day on which K is.
