# I am onion!

Cody has 4 types of onions:

• The number of $$\color{Purple}\text{purple}$$ onions can be any non-negative integer.
• The number of $$\color{Green}\text{green}$$ onions is a multiple of 2.
• The number of $$\color{Red}\text{red}$$ onions is a multiple of 3.
• The number of $$\color{Blue}\text{blue}$$ onions is a multiple of 5.

If Cody has 23 onions, how many different distributions of colors can there be?

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