Suppose that in a deck of 20 cards, each card has one of the numbers 1, 2,

Question:

Suppose that in a deck of 20 cards, each card has one of the numbers 1, 2, 3, 4, or 5 and there are four cards with each number. If 10 cards are chosen from the deck at random, without replacement, what is the probability that each of the numbers 1, 2, 3, 4, and 5 will appear exactly twice?