Question

Two packs of 52 cards are shuffled together. The number of ways in which a man can be dealt 26 cards so that he does not get two cards of the same suit and same denomination is

• A. ⁵²C₂₆. 2²⁶
• B. ¹⁰⁴C₂₆
• C. 2.⁵²C₂₆
• D. None

Answer 1

Answer: (A)

⁵²C₂₆. 2²⁶

Answer 2

26 cards can be chosen out of 52 cards, in ⁵²C₂₆ ways. There are two ways in which each card can be dealt, because a card can be either from the first pack or from the second. Hence the total number of ways = ⁵²C₂₆. 2²⁶.