document.write( "Question 940582: In selecting an ace;king;queen;and jack from an ordinary deck of 52 cards;how many ways may we choose if (a)they must be of different suits;(b)they may or may not be of different suits;(c)they must be of the same suit;(d)they must be in a particular suit?Please help me to solve this question. \n" ); document.write( "
Algebra.Com's Answer #573243 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! In selecting an ace;king;queen;and jack from an ordinary deck of 52 cards;how many ways may we choose if \n" ); document.write( "(a)they must be of different suits; \n" ); document.write( " \r\n" ); document.write( "Choose the suit for the Ace 4 ways\r\n" ); document.write( "Choose the suit for the King 3 ways\r\n" ); document.write( "Choose the suit for the Queen 2 ways\r\n" ); document.write( "Choose the suit for the Jack 1 way.\r\n" ); document.write( "\r\n" ); document.write( "Answer 4*3*2*1 = 4! = 24 ways\r\n" ); document.write( " \n" ); document.write( "(b)they may or may not be of different suits; \n" ); document.write( " \r\n" ); document.write( "Choose the Ace 4 ways\r\n" ); document.write( "Choose the King 4 ways\r\n" ); document.write( "Choose the Queen 4 ways\r\n" ); document.write( "Choose the Jack 4 ways\r\n" ); document.write( "\r\n" ); document.write( "Answer: 4*4*4*4 = 44 = 256 ways\r\n" ); document.write( " \n" ); document.write( "(c)they must be of the same suit; \n" ); document.write( " \r\n" ); document.write( "4 ways. Just pick the suit. \r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "(d)they must be in a particular suit? \n" ); document.write( " \r\n" ); document.write( "1 way, all in that particular suit.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |