Assume that you have a total of 11 people on the board: 2 out-of-state seniors, 3 in-state seniors, 2 out-of-state non-seniors, and 4 in-state...

Assume that you have a total of 11 people on the board: 2 out-of-state seniors, 3 in-state seniors, 2 out-of-state non-seniors, and 4 in-state non-seniors. University rules require that at least one in-state student and at least one senior hold one of the three offices. Note that if individuals change offices, then a different selection exists.

In how many ways can the officers be chosen while still conforming to University rules?