Question

In the game War, players divide the 52-card deck into two smaller 26-card decks. How many 26-card "sub-decks" can be made? (Leave answer in factorial form.)

Answer 1

There are
`(52!)/((52-26)!)=(52!)/(26!)` ways of permuting 26 cards from the original deck (i.e. this number of ways to get specifically-ordered 26-card decks). Divide this number by 26! to remove duplicate arrangements, so that the number is
.