document.write( "Question 165369: Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be? \n" ); document.write( "
Algebra.Com's Answer #121932 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! When \"order\" is important we refer to it as a \"permutation\". \n" ); document.write( "When \"order\" is NOT important we refer to it as a \"combination\". \n" ); document.write( ". \n" ); document.write( "nPr = (n!)/(n-r)! \n" ); document.write( ". \n" ); document.write( "In our case: \n" ); document.write( "n = 7 \n" ); document.write( "r = 7 \n" ); document.write( ". \n" ); document.write( "nPr = (n!)/(n-r)! \n" ); document.write( "7_Pr_7 = (7!)/(7-7)! \n" ); document.write( "7_Pr_7 = (7!)/(0)! \n" ); document.write( "7_Pr_7 = (7!)/1 \n" ); document.write( "7_Pr_7 = (7!) \n" ); document.write( "7_Pr_7 = (1*2*3*4*5*7) \n" ); document.write( "7_Pr_7 = 840\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |