6. (a) (10 pts) How mamr 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). (b) {10 pts) Using cards of all 13 ranks and 4 suits, how many different Full House

sets can be formed? In contrary to real games, we take Suits into mnsideratiou. i.e., (as. 08, me, so, (gt;0) and (03, as, so, so. 0Q) are different m1 House sets. The order of the cards, however, doesnâ€™t matter. it Figure l: Full House is a. card set that contains three

cards of one rank and two cards of another rank Engineering Technology