In a bag are ten red marbles, ten black marbles, ten yellow marbles, and ten green marbles all numbered from 1 to 10. A person is going to reach into the bag and draw out five marbles.

a. How many possible outcomes are there?

im pretty sure this is 40C5

b. How many outcomes contain no red marbles?

c. How many of these outcomes contain at least one red marble?

d. How many of these outcomes contain no marble numbered 5?

e. How many of these outcomes contain at least one marble numbered with a 5?