Question

A bag contains 7 marbles: 4 red, 2 yellow, and 1 green. Three marbles are to be selected from the bag, one at a time, without replacement. If the order of selection does not matter, how many color combinations of the three marbles are possible?

Answer 1

Answer: There are 6 combinations.

Explanation:

Since the order of selection doesn’t matter, we can simply list out all the combinations:

- red, red, red

- red, red, green

- red, red, yellow

- red, yellow, yellow

- yellow, yellow, green

- yellow, yellow, yellow

All together, there are 6 different combinations.