Q3

[tsj215]

Can you please explain how a is the correct answer? Bc i reasoned p cannot be in slot 1,2,3 bc it must be M-- at least 2 groups--P so p c could be 4,5,6 and if F is slot 2 then the constraint V--1 group--F could not be true

[timmydoeslsat]

My global diagram:



This is a local question asking what variable could be second if we form a FPV_+1?M block.

(+1? = could be more than just the two spaces between P and M.)



We can see that the soonest this block could start would be second. We could not begin to place the block at 3 through 7. This block requires at least 5 spaces. The only variables we do not know about are J and G.

This is where I would run two options, F in 2 and F in 1.



The F in 2 scenario will send the block to the last space with M. We have two gaps, slot 1 and slot 5. J is random and G is not forbidden to go into either of those slots, so they can trade off there.

While this gives us our answer that F can go second. It is important for practice purposes to see what else could have happened in regards to this question. Is there another variable that could have gone second other than F?

That answer would be found in our F in 1 scenario. This would place P and V in slots 2 and 3 respectively. Notice that 4, 5 and 6 are the only slots left open, and 5 is the only slot G can go in, so it must go there. We know that M must be at least two slots away from P, so it must go sixth. The only variable left is J, which is random, so it can go fourth. So P could have also been the answer had it been listed instead of F.