A bag contains marbles of three different colors with at least three marbles of each color. Three marbles are randomly selected, without replacement. How many different color combinations are possible? (Note: ``red, red, blue" and ``red, blue, red" are the same combination.)
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If the colors are red, blue, and green, you could get
1) three reds
2) three blues
3) three greens
4) two reds and a blue
5) two reds and a green
6) two blues and a red
7) two blues and a green
8) two greens and a red
9) two green and a blue
10) one of each.
There are 10 possiblities.
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3 of the same colour
3*2 = 6 of (2 colour,1 colour)
1 of all colour
3+6+1=10