Avending machine needs to be programmed to accept any combination of coins totaling 0.75, excluding pennies, and half dollars. how many combinations are possible?

Combination 1: 3 quarters (25 cent).

Combination 2: 2 quarters and 5 nickels.

Combination 3: 2 quarters, 2 dimes, 1 nickel.

Combination 4: 15 nickels

Combination 5: 7 dimes and 1 nickel.

Combination 6: 1 quarter, 5 dimes

Combination 7: 1 quarter, 1 dime, 7 nickels.

Combination 8: 1 quarter, 2 dimes, 6 nickels.

Combination 9: 1 quarter, 3 dimes, 4 nickels.

Combination 10: 1 quarter, 4 dimes, 2 nickels.

I believe those are all the possible combinations.

I hope that helped you! :)