Question: The states of California, Arizona, New Mexico, Utah, and Nevada each send a team of 6 delegates to the Southwestern States annual conference. A subcommittee of 9 is to be formed to discuss water rights.
1. How many committees are possible?
2. How many committees with no delegates from New Mexico are possible?
3. How many committees with exactly 1 delegate from New Mexico are possible?
4. How many committees with at most 1 delegate from New Mexico are possible?
5. How many committees with at least 2 delegates from Nevada are possible?
6. How many committees with at most 4 delegates total from Arizona and California are possible?