document.write( "Question 1177035: There are 8 horses in a race at Retama Park. You could win a BIG jackpot if you can pick the finishing order for ALL 8 of the horses. Find the number of possible orders in which the horses can finish. \n" ); document.write( "
Algebra.Com's Answer #805215 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "There are 8 ways to select a first place finisher \n" ); document.write( "Then 8-1 = 7 ways to pick the horse for second place; since we cannot have the first place person repeat. \n" ); document.write( "For third place, there are 8-2 = 6 ways \n" ); document.write( "This process keeps going until we hit 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have this count down: 8,7,6,5,4,3,2,1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiplying those values out will get the final answer \n" ); document.write( "8*7*6*5*4*3*2*1 = 40,320\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can shorten this to factorial notation \n" ); document.write( "8! = 40,320 \n" ); document.write( " \n" ); document.write( " |