A deck of cards has 4 suits: diamonds, hearts, clubs, and spades. the suits of d
ID: 3108557 • Letter: A
Question
A deck of cards has 4 suits: diamonds, hearts, clubs, and spades. the suits of diamonds and hearts are both red and the suits of clubs and spades are both black. Each suit has the following denominations: Ace, 2, 3.4, 5, 6, 7, 8, 9, 10. Jack. Queen, and King. the Jacks, Queens and Kings are also called face cards. in how many different ways 5 cards can be picked with restriction that all 5 cards are red. in how many ways 2 cards can be drawn such that one card is from red face cards and the other is a black card.Explanation / Answer
total no.of cards = 13*4 = 52 cards in deck of cards ( no.of means number of)
no.of red cards = 26 , no.of black cards = 26
1.
since we have 26 red cards out of these we have to pick 5 red cards
no.of ways to pick 5 red cards = 26C5 = 26!/(5!*21!) = 65780 ways
2.
no.of face cards per suit = 3
since we have two red suits ,no.of red face cards = 6
no.of ways to pick 1 red face card = 6C1 = 6 ways
no.of ways to pick black card = 26C1 = 26
ways to pick 2 cards such that 1 is red face card and otherr is black card = 26*6 = 156 ways