For a set of red, blue and yellow cards, we receive the points according to the following system:

- For each red card, we receive 1 point.
- For each blue card, we receive points equal to twice the number of red cards.
- For each yellow card, we receive points equal to thrice the number of blue cards.

What is the maximum number of points we can receive for a set of 15 cards?

This problem is posed by Minimario M.

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