There are 21 possible sets of five marbles in which none of the marbles are red or green.
How do we find the possible number of marbles that does not include red or green?
The possible number of sets of five marbles that does not include red or green, we look to marbles that are not green or red.
- 1 transparent marble
- 3 yellow marbles
- 3 orange marbles
7 marbles that are neither red nor green.
we need to calculate (7 choose 5) = 21
Full question
Consider a bag containing four red marbles, three green ones, one transparent one, three yellow ones, and three orange ones.
How many possible sets of five marbles are there in which none of them are red or green?