- Mon May 13, 2019 4:32 pm
#64728
I'm not Jonathan, lledford16, but I'll try to fill in for him! For Question 14 on this game, the correct answer is actually C, not A. At least one employee has to select their first choice, because someone has to go first! It's not about probability at all - there is nothing probable about this game, only what is possible, what is necessary, and what is impossible.
Why not A? Because there are two different offices that are ranked first by the different employees. One partial hypothetical shows it's not mandatory that at most one person gets their first choice of office. If J and L are the first two, in either order, they will each get their first choice (J will get Y and L will get X).
Why not D? Because nobody has to get their second choice! Imagine if P and T are the first two, in either order. P will get Y and T will get X, each getting their first pick. Now, imagine that J goes third - what will he get? His first two choices are taken, so he will get his third choice, which is Z. L ends up going last, and gets his third choice too, which is W. Nobody got their second choice and nobody got their last choice!
I wouldn't suggest coming up with hypotheticals for these answer, though, but would do as Jonathan did in his explanation - mark a few as contenders, and when I get to answer C I can immediately see that it must be true that someone gets their first choice. That's good enough for me to cut the process short, select that answer, and be done with it!
Alberto: I want to be clear that the order of JLPT is not the only solution to this game. In fact, there are 24 unique orders in which the four employees could select their offices, based on the mathematical approach called a "factorial", represented by the notation "4!". There are 4 people who can go first. Once one of them goes first, there are 3 remaining options to go second; then there are 2 people who could go third; and finally, just one person will be left to go last. The math there is 4x3x2x1=24.
We chose to play with the order of JLPT simply because that is the order in which the names are listed, so it seemed natural if we were to try one hypothetical situation it would be that one. But we could have started with any order at all. PLTJ, perhaps, or TPJL, or LTPJ. Each order determines the specific combination of employees with offices, although some different orders will result in the same combinations. For example, if P selects first and L selects second, P will select Y (his first choice) and L will select X (his first choice), but the same combination will happen if L selects first and P selects second. Try creating three or four different hypothetical orders and see who ends up with which office in each case, and you will probably have a clearer understanding of the game once you have done so.
Adam M. Tyson
PowerScore LSAT, GRE, ACT and SAT Instructor
Follow me on Twitter at
https://twitter.com/LSATadam