In how many ways can a pack of 52 cards be (i) divided equally among four players in order (ii) divided into four groups of 13 cards each (iii) divided in 4 sets, three of them having 17 cards each and the fourth just one card?

Question

In how many ways can a pack of 52 cards be (i) divided equally among four players in order (ii) divided into four groups of 13 cards each (iii) divided in 4 sets, three of them having 17 cards each an...

Accepted Answer

(i) The number of ways in which 52 cards be divided equally among four players in order = ^52 C_13 ^39 C_13 ^26 C_13 ^13 C_13=52(13)^4 (ii) The number of ways in which a pack of 52 cards can be divide equally into four groups of 13 cards each 1[4 ^52 C_13 ^39 C_13 ^26 C_13 ^13 C_13=52[4(13)^4. (iii)...

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