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

26 cards can be chosen out of 52 cards in  52C26ways. 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 is  52C26×226.