What is the number of 3 red and 2 black cards in a 5 card sequence in a standard deck of 52 cardsity of?

To find the number of ways to arrange 3 red cards and 2 black cards in a 5-card sequence from a standard deck of 52 cards, we first select the cards. There are 26 red cards and 26 black cards in the deck. The number of ways to choose 3 red cards from 26 is given by ( \binom{26}{3} ), and the number of ways to choose 2 black cards from 26 is ( \binom{26}{2} ). Then, we multiply by the number of arrangements of these 5 cards, which is ( \frac{5!}{3!2!} ). Thus, the total number of sequences is ( \binom{26}{3} \times \binom{26}{2} \times \frac{5!}{3!2!} ).