VII) A deck of cards has 4 suits: diamonds, hearts, clubs, and spades. The suits

Question

VII) 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.

        1. In how many different ways 5 cards can be picked with restriction that all 5 cards are red.

        2. 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

1) There are total 26 red cards. Hence, no of ways to pick 5 red cards are:

26c2 = 26*25/2

2) There are total 6 red face cards and 26 black cards. Hence total no of ways are given by:

6c1 * 26c1 = 6*26

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