Suppose that 10 cards, of which seven are red and three are green, are put at random

Question:

Suppose that 10 cards, of which seven are red and three are green, are put at random into 10 envelopes, of which seven are red and three are green, so that each envelope contains one card. Determine the probability that exactly k envelopes will contain a card with a matching color (k = 0, 1, . . . , 10).