Blue Pocket

Grace has 16 jellybeans in her pocket. She has 8 red, 4 green, and 4 blue. What is the minimum?

Grace has 16 jellybeans in her pocket. She has 8 red, 4 green, and 4 blue. What is the minimum number of jellybeans she must take out of her pocket to ensure she has one of each color?
a. 4
b. 8
c. 12
d. 13
e. 16

It is 13, I arrived at this answer by logical thinking.

If she pulls 4 out, she could get 4 of just red, blue, or green, or possibly a mixture.

If she pulls 8, she could get 4 red and 4 green, 4 green and 4 blue, any combination like that, or even 8 red.

If she pulled 12, she could get 8 red and 4 green, or 8 red and 4 blue.

However, if she pulls 13, she could get all 8 red, and all 4 of one of the other colours, leaving one jellybean leftover which would HAVE to be of the last colour.

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