For part b.
We must choose 4 of the 14 'other' colors, 4 of the 5 reds and 2 of the 3 yellows out of 10 chosen from 22.
I would think:
That seems rather low, doesn't it?. I may be off base for whatever reason.
Soroban, Plato, etc. may be along to either concur or prove me wrong.