document.write( "Question 950645: in how many ways can 6 people apply for 2 different jobs? \n" ); document.write( "
Algebra.Com's Answer #580509 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! in how many ways can 6 people apply for 2 different jobs? \n" ); document.write( " \r\n" ); document.write( "The answer would depend of whether they can apply for both jobs \r\n" ); document.write( "or whether they can only apply for 1 of the jobs.\r\n" ); document.write( "\r\n" ); document.write( "I'll do it both ways.\r\n" ); document.write( "\r\n" ); document.write( "Assuming they can do any of 3 things --\r\n" ); document.write( "apply for either J only, K only, or both J and K\r\n" ); document.write( "\r\n" ); document.write( "There are 3 things A can do, apply for J, K, or J&K\r\n" ); document.write( "\r\n" ); document.write( "For each of the 3 things A can do, there are 3 things B can do.\r\n" ); document.write( "That's 3×3=32=9 things A and B can do. \r\n" ); document.write( "\r\n" ); document.write( "For each of the 3×3=32=9 things A and B can do, there \r\n" ); document.write( "are 3 things C can do.\r\n" ); document.write( "\r\n" ); document.write( "That's 3×3×3=33=27 things A,B, and C can do. \r\n" ); document.write( "\r\n" ); document.write( "... etc. ...\r\n" ); document.write( "\r\n" ); document.write( "For each of the 3×3×3×3×3=35=243 things A,B,C,D and E can do, \r\n" ); document.write( "there are 3 things F can do.\r\n" ); document.write( "\r\n" ); document.write( "That's 3×3×3×3×3×3=36=729 things A,B,C,D,E, and F can do. \r\n" ); document.write( "\r\n" ); document.write( "Answer: 36=729\r\n" ); document.write( "\r\n" ); document.write( "-----------------\r\n" ); document.write( "\r\n" ); document.write( "Assuming they can only do either of 2 things --\r\n" ); document.write( "apply for either J only or apply for K only. \r\n" ); document.write( "[They can't apply for both jobs.]\r\n" ); document.write( "\r\n" ); document.write( "There are 2 things A can do, apply to J or K\r\n" ); document.write( "\r\n" ); document.write( "For each of the 2 things A can do, there are 2 things B can do.\r\n" ); document.write( "That's 2×2=32=4 things A and B can do. \r\n" ); document.write( "\r\n" ); document.write( "For each of the 2×2=22=4 things A and B can do, there \r\n" ); document.write( "are 2 things C can do.\r\n" ); document.write( "\r\n" ); document.write( "That's 2×2×2=23=8 things A,B, and C can do. \r\n" ); document.write( "\r\n" ); document.write( "... etc. ...\r\n" ); document.write( "\r\n" ); document.write( "For each of the 2×2×2×2×2=25=32 things A,B,C,D and E can do, \r\n" ); document.write( "there are 2 things F can do.\r\n" ); document.write( "\r\n" ); document.write( "That's 2×2×2×2×2×2=26=64 things A,B,C,D,E, and F can do. \r\n" ); document.write( "\r\n" ); document.write( "Answer: 26=64\r\n" ); document.write( "\r\n" ); document.write( "---------------\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |