Eliane wants to choose her schedule for swimming. She wants to attend two classes per week, one in the morning and the other in the afternoon, not on the same day nor on consecutive days. In the morning, there are swimming classes from Monday to Saturday, at $9 \text{ am}$, $10 \text{ am}$, and $11 \text{ am}$, and in the afternoon, from Monday to Friday, at $5 \text{ pm}$ and $6 \text{ pm}$. In how many different ways can Eliane choose her schedule?
If the morning class is on Monday or Friday (in any of the three time slots), then the afternoon class day can be chosen in 3 different ways (in any of the two time slots), so we have $2 \times 3 \times 3 \times 2=36$ different ways to choose the schedule. In the case where the morning class is on Saturday, then the afternoon class day can be any day from Monday to Thursday, so we have $3 \times 4 \times 2=24$ possible ways. Lastly, if the morning class is on Tuesday, Wednesday, or Thursday, then the afternoon class can only be chosen in two ways, so we have $3 \times 3 \times 2 \times 2=36$ ways. Therefore, Eliana can choose her schedule in $36+24+36=96$ distinct ways.