Hi christinecwt!
Answer choice (B) is incorrect because performing in Jazz on May 2, 4, and 5 creates a scenario that does not violate the rules, while placing Jazz on May 2 and 5 creates a scenario that does violate the rules. Since the question stem asks us to find out which schedule of Jazz Noguchi CANNOT perform in, the correct answer will be a placement of Jazz that violates the rules of the game.
Let's start with the scenario described in answer choice (B). If we place Jazz (J) on May 2, 4, and 5 only, we get a diagram that looks like this: _ J _ J J _. We can quickly place Orchestra (O) in spots 1 and 3 - which preserves the first rule - and place Solo (S) in spot 6. This gives us a valid scenario that ends up looking like: O J O J J S. So, we can eliminate (B)!
Moving on to answer choice (D), if we place J on May 2 and 5 only, then we get a diagram that looks like this: _ J _ _ J _. Now, if we try to place O in spots 1 and 3 - per the second rule - we get O J O _ J _. We can already see that this is an issue! We have an O without a J immediately following it, which violates the first rule. If we try putting O in spots 4 and 6, we run into the same issue (O cannot go in spot 6 since J must immediately follow O whenever O performs; the diagram would look like this before we cross it out _ J _ O J O). Since this is not a viable scenario, we know (D) is the correct answer, since Noguchi cannot perform Jazz on days 2 and 5 only!
I hope this helps
Kate