SOLUTION: Bag contains marbles of 5 diff colors, 9 of each color. You select 4. How many diff ways can you choose 2 of one color, 1 of another color and 1 of yet another color? I would

Question 185248: Bag contains marbles of 5 diff colors, 9 of each color. You select 4. How many diff ways can you choose 2 of one color, 1 of another color and 1 of yet another color?
I would have thought it was 9C2 x 9C1 x9C1 x 5C3 (5 colors, choose 3), but I know this isn't the answer. Can anyone assist?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bag contains marbles of 5 diff colors, 9 of each color. You select 4. How many diff ways can you choose 2 of one color, 1 of another color and 1 of yet another color?
-----------------------------
Choose a color: 5 ways
Choose 2 marbles of that color: 9C2 ways
Choose another color: 4 ways:
Choose 1 marble of that color: 9 ways
Choose another color: 3 ways:
Choose 1 marble of that color: 9 ways
------------------------------------------
Total # of choices:
5*4*3*9C2*9^2 = 174,960 ways
==================================
Cheers,
Stan H.
RELATED QUESTIONS
In a box, there are 3 red marbles,4 green marbles and 5 yellow marbles.In how many ways... (answered by jim_thompson5910)

In a box , there are 3 red marbles,4 green marbles and 5 yellow marbles.in how many ways... (answered by math_helper)

A bag contains 4 red, 6 white, and 9 blue marbles. How many ways can 5 marbles be... (answered by stanbon,helpfulhint)

I have an unlimited number of bags containing marbles. Each bag contains only two colors (answered by lynnlo)

A bag contains 7 red marbles and 5 black marbles. You want to add 60 marbles to the bag,... (answered by stanbon)

1/A batch contains 10 transistors of which three are defective. If three are chosen, in... (answered by jim_thompson5910)

A bag contains 7 red marbles and 5 black marbles. You must add 60 marbles to the bag, but (answered by TimothyLamb,DrBeeee)

If you have a box of 12 marbles of 3 different colors, blue, green and red, 4 blue, 4... (answered by Edwin McCravy)

If you have a jar full of 400 marbles, with 4 colors distributed equally, how many... (answered by math_helper)