10. Extremize (, ) = 30 + 10 subject to

2 + 2 4, 6 + 4 36, 2 + 10, 0, 0

11. A basketball team has 5 distinct positions. Out of 8 players, how many starting teams are

possible if:

a) Distinct positions on the team are not taken into consideration?

b) Distinct positions are taken into consideration?

c) Distinct positions are not taken into consideration, but either Mike or Ken (but not

both) must be on the starting team?