### Game 1

**Step 1**

Per the given scenario, we can write out the six elements to be placed - U, V, W, X, Y, and Z, and lay out the six assignments to be filled, in order.

**Step 2**

Per the first rule, we can notate that V must go before Z.

**Step 3**

Per the second rule, we can notate that both W and Z go before X. We can connect this notation our notation for the first rule.

**Step 4**

Per the third rule, we can notate that U cannot go in any of the first three positions.

**Step 5**

Per the fourth rule, we can notate that Y cannot go in any of the final three positions.

### Game 2

**Step 1**

Per the given scenario, we can write out the eight elements to be placed - M, O, P, S, T, W, Y, and Z - and create an in-out diagram with four slots in the in column, and an understanding that there may or may not be more that can go in the in column as well.

**Step 2**

Per the first rule, we can notate that M in leads to O out and P out. We can also notate the contrapositive that if O or P is in, M must be out.

**Step 3**

Per the third rule, we can notate that W in means M and Y are also in, as well as the contrapositive. We can connect these notations to our notations for the first rule.

**Step 4**

Per the second rule, we can notate that S in leads to both P and T being in, as well as the contrapositive. We can connect these notations to our notations for the first and third rules.

**Step 4**

We can notate that Z has not been mentioned in any of the given rules.

### Game 3

**Step 1**

Per the given scenario, we can write out the five elements to be placed - H, M, R, S, and W, and we can lay out the five positions to be assigned - we can do so in a grid that allows us to track the screens in rows and the times in columns.

**Step 2**

Per the first rule, we can notate that W must be at some point before H.

**Step 3**

Per the second rule, we can notate that S cannot be show on the third screen.

**Step 4**

Per the third rule, we can notate that R cannot be shown on the second screen.

**Step 5**

Per the fourth rule, we can notate that H and M cannot be shown on the same screen.

### Game 4

**Step 1**

Per the given scenario, we can write out the five elements to be placed - O, P, R, S, and T, and the two subset types - g and h, and we can lay out the five positions to be filled, in order.

**Step 2**

Per the first rule, we can place a g into the first slot.

**Step 3**

Per the second rule, we can place an h into the fourth slot.

**Step 4**

Per the third rule, we can notate that we have 3 g’s and 2 h’s.

**Step 5**

Per the fourth rule, we can notate that Sh must go before O.

**Step 6**

Per the fifth rule, we can notate that T must go before Pg.