document.write( "Question 666341: a woman lives in a part of a city that is perfectly rectangular grid of streets. she works in a building that is 5 blocks east and three blocks north of her home. how many different paths can she take to work by walking only eight blocks? \n" ); document.write( "
Algebra.Com's Answer #414388 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! First, realize that you must go to 5 blocks east and three blocks north at some point.\r \n" ); document.write( "\n" ); document.write( "We have 8 total \"steps\" to choose from and we must partition our steps into 5 blocks east and three blocks north, so we get:\r \n" ); document.write( "\n" ); document.write( "(8 choose 5)*(3 choose 3) = 56 different paths. \n" ); document.write( " \n" ); document.write( " |