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I have a bag of 6 balls, 2 red, 2 blue and 2 green. How many possible combinations are there of all six balls.

What if there were 9 balls 3 of each colour? How many combinations are there of all nine balls?

How did you work it out?

Please help!! Thank you!!

2007-10-03 22:06:04 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

combinations [in first case]:
one ball from each color = 1 combination (Green-Blue-Red)
quantity of same combination = 2 (2G, 2B, 2R=6)

combination of 2 colors = 3 [GR, GB, BR]
quantity of same combinations = 6 [2GR, 2GB, 2BR=6]

in second case just add the additional balls in above formula
i.e.
one ball from each color = 1 combination (Green-Blue-Red)
quantity of same combinations = 3 (3G, 3B, 3R=9)

combination of 2 colors = 3 [GR, GB, BR]
quantity of same combinations = 9 [3GR, 3GB, 3BR=9]

2007-10-03 22:33:32 · answer #1 · answered by Kamran 3 · 0 0

If you are selecting all the balls, there is only one combination.

2007-10-03 22:09:50 · answer #2 · answered by Scarlet Manuka 7 · 0 0

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