# Math

posted by .

Hello everybody!

May I ask you a big favor?
I need help.
What I have is:
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?

I tried to use Combinatorial Calculator here:
numberempire com

And I've got : 10

Seems like it is the right answer, because textbook shows me the same..
But I want to understand the way of solving it.
Please show me step by step solution or the formula.

• Math -

It said, "How many different color combinations are possible" , so as long as there are 3 different colours available, the number of actual marbles does not matter.
Suppose we have R, B , and G for our colours.

So we could have:
RRR
RRB
RRG
BBB
BBR
BBG
GGG
GGR
GGB
RBG ----> which makes 10

or

all the same = 3
2 of one, the third different = (3x1)x2 = 6
all different = 1

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