document.write( "Question 365237: Ernest is planting flowers, four to a row. He is planting red, purple, yellow, and white flowers, Each row must contain all four colors and be in a different order from right to left. How many rows can Ernest plant? \n" ); document.write( "
Algebra.Com's Answer #260404 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Ernest is planting flowers, four to a row. He is planting red, purple, yellow,\r\n" ); document.write( "and white flowers, Each row must contain all four colors and be in a different\r\n" ); document.write( "order from right to left. How many rows can Ernest plant?\r\n" ); document.write( "\r\n" ); document.write( "For any row, he can choose the leftmost color of flower to plant in any of 4\r\n" ); document.write( "ways.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 4 ways he has chosen a color for the leftmost color of\r\n" ); document.write( "flower, there remain only 3 colors of flowers left to plant just right of the\r\n" ); document.write( "leftmost flower.\r\n" ); document.write( "\r\n" ); document.write( "So that 4*3 ways he can plant the leftmost and the next to left most.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 4*3 ways he has chosen 2 colors for the two leftmost flowers,\r\n" ); document.write( "there remain only 2 colors of flowers left to plant next to the rightmost\r\n" ); document.write( "flower.\r\n" ); document.write( "\r\n" ); document.write( "So that 4*3*2 ways he can plant the three flowers on the left.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 4*3*2 ways he has chosen 3 colors for the three leftmost\r\n" ); document.write( "flowers, there remain only 1 color of flower left to plant on the far right.\r\n" ); document.write( "flower.\r\n" ); document.write( "\r\n" ); document.write( "So that's 4*3*2*1 or 24 different arrangements for a row of flowers. So\r\n" ); document.write( "he can plant 24 rows.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |