A bag has marbles of 4 colors: red, white, blue and green. Assume that if we take four marbles out at random (without replacement), each of the following is equally likely:
###### Image Credit: Flickr Wes Iversen.

- One marble of each color is chosen
- One white, one blue and two reds are chosen
- One blue and three reds are chosen
- All four are red

What is the smallest number of possible marbles in the bag?

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