Posted: December 30th, 2021
6. (a) (10 pts) How mamr ways are there to arrange a deck of 52 cards so that for eachsuit, all cards of that suit are together? Recall that we have 13 ranks (Ace toKing), and 4 suits (spades, hearts, diamonds and clubs). (b) {10 pts) Using cards of all 13 ranks and 4 suits, how many different Full Housesets can be formed? In contrary to real games, we take Suits into mnsideratiou. i.e., (as. 08, me, so, (>0) and (03, as, so, so. 0Q) are different m1 House sets. The order of the cards, however, doesn’t matter. it” Figure l: Full House is a. card set that contains threecards of one rank and two cards of another rank
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