I have a cup with 5 red M&Ms, 4 yellow, and 3 green ones.  I draw six at random (without replacement, order does not matter). How many ways are there to draw six at random which give two of each color? For this problem, it can help to imagine that the M&Ms are numbered 1 - 12, with number 1-5 red, 6-9 yellow, and 10-12 green.  After that, proceed like we did with Poker hands.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I have a cup with 5 red M&Ms, 4 yellow, and 3 green ones. 

I draw six at random (without replacement, order does not matter).
How many ways are there to draw six at random which give two of each color?

For this problem, it can help to imagine that the M&Ms are numbered 1 - 12, with number 1-5 red, 6-9 yellow, and 10-12 green. 
After that, proceed like we did with Poker hands. 

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