document.write( "Question 1184223: Four speakers P, Q, R and S will address the meeting with the condition that speaker Q will speak after speaker S. Find the number of ways in which the order of speakers can be prepared? \n" ); document.write( "
Algebra.Com's Answer #814753 by ikleyn(52835)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In this problem, instead of 4 objects, we consider 4-1 = 3 objects,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "looking at the pair SQ as one unit.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "For 3 objects, we have 3! = 6 possible permutations;\r\n" ); document.write( "\r\n" ); document.write( "therefore, the answer to the problem's question is 3! = 6.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hello, the previous solution was done assuming that speaker Q addresses IMMEDIATELY after speaker S.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the problem means \" after, but not necessary immediately after \", then the answer is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In half of 4! = 24 permutations, Q follows S; in other half of permutations, S follows Q.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |