document.write( "Question 1154507: How many 5 numbers license plates can be made using the digits 1 2 3 4 5 6 if repitition is NOT allowed
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Algebra.Com's Answer #776946 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "There are 6 ways to choose the first digit.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 6 ways to chose the first digit,\r\n" ); document.write( "There are 5 ways to choose the second digit.\r\n" ); document.write( "That's 6∙5=30 ways to choose the first two digits.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 6∙5=30 ways to chose the first two digits,\r\n" ); document.write( "There are 4 ways to choose the third digit.\r\n" ); document.write( "That's 6∙5∙4 = 120 ways to choose the first three digits.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 6∙5∙4 = 120 ways to chose the first three digits,\r\n" ); document.write( "There are 5 ways to choose the fourth digit.\r\n" ); document.write( "That's 6∙5∙4∙3 = 360 ways to choose the first four digits.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 6∙5∙4∙3 = 360 ways to chose the first four digits,\r\n" ); document.write( "There are 2 ways to choose the fifth digit\r\n" ); document.write( "That's 6∙5∙4∙3∙2 = 720 ways to choose the first five digits.\r\n" ); document.write( "\r\n" ); document.write( "And since that's all the digits, the answer is 6∙5∙4∙3∙2 = 720.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |