The planting committee has exactly three people. They are all random variables. We have no rules for them. We know M has to go somewhere. We can put M in T. We can also put H, G and L in T, so that both groups have three people in common. We can’t give them anything else in common, because P is only allowed three people in this question. It looks like this:
A doesn’t work. We can give P and T three variables in common.
B is false for the same reason as A.
C isn’t true. P can only have three people, but T must have at least four.
D is CORRECT. We could put more people on trails but we have to put at least four: H, G and L (in common with P) as well as planting.
E has to be false. Trails needs more than planting, because we put M in trails.
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