In a card game player get at the start 2 green cards, 3 blue cards, 4 red cards, and 3 yellow cards. In how many ways can the player get cards at the start if this card game has 7 green, 7 blue, 10 red and 10 yellow cards?

Answer 1

Assuming the cards of each color are unique, that would be
7C2 * 7C3 * 10C4 * 10C3
= 7*6/1*2 * 7*6*5/1*2*3 * 10*9*8*7/1*2*3*4 * 10*9*8/1*2*3
= 21 * 35 * 210 * 120 = 18 522 000