Question

How many ways are there to arrange a deck of 52 cards so that for each suit, all cards of that suit are together? Recall that we have 13 ranks (Ace to King), and 4 suits (spades, hearts, diamonds and clubs)

Answer 1

There are 4 suits in a deck of 52 cards .

First we make a bunch of each suits and represents it as a single card as we have to keep all cards of a suit together .

So now we have four bunch and 4 bunch can be arrange in many ways , and each of 13 cards in a suit can be arrange in ways

Hence there are   many ways in total .

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