document.write( "Question 864622: how many different ways are there for the group to record a CD consisting of 12 songs chosen from 25 new songs? use permutations or combinations (the order of the songs is relevant ) \n" ); document.write( "
Algebra.Com's Answer #521138 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Order is important, so we use a permutation. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(n,r) = (n!)/((n-r)!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(25,12) = (25!)/((25-12)!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(25,12) = (25!)/(13!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(25,12) = (25*24*23*22*21*20*19*18*17*16*15*14*13!)/(13!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(25,12) = 25*24*23*22*21*20*19*18*17*16*15*14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(25,12) = 2,490,952,020,480,000\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer is 2,490,952,020,480,000 which is the number 2 quadrillion 490 trillion 952 billion 20 million 480 thousand (definitely a big number). A shorter way to say it is to round to the nearest trillion to get 2.491 quadrillion.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer in scientific notation is 2.49095202048 * 10^15 and that can be shortened to 2.491 * 10^15 \n" ); document.write( " |