document.write( "Question 997074: Three travelers arrived at a town where there are five hotels. In how many ways can they select their room each at a different hotels? \n" ); document.write( "
Algebra.Com's Answer #615350 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "5*4*3 = 60 ways.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The first traveler can be accommodated in 5 ways (in any of 5 hotels)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The second traveler can be accommodated in 4 ways (in any of remaining hotels.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The third traveler can be accommodated in 3 ways (in any of 3 = 5 - 2 hotels).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In the rest, these selection are independent.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, there are 5*4*3 = 60 ways to accommodate, in total.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |