document.write( "Question 1177448: Which of the following expressions can be used to find the numbers of ways a 4- digit code can be made using the digits 1,2,3,4, and 5 if the repetition of digits is allowed
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Algebra.Com's Answer #806456 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "We can pick the 1st digit any of these 5 ways:\r\n" ); document.write( "1, 2, 3, 4 or 5\r\n" ); document.write( "That's 5 ways to pick the 1st digit.\r\n" ); document.write( "For each of those 5 ways, we can pick the 2nd digit any of these 5 ways:\r\n" ); document.write( "1, 2, 3, 4 or 5\r\n" ); document.write( "That's (5)(5) or 25 ways to pick the 1st and 2nd digits.\r\n" ); document.write( "For each of those 25 ways, we can pick the 3rd digit any of these 5 ways:\r\n" ); document.write( "1, 2, 3, 4 or 5\r\n" ); document.write( "That's (5)(5)(5) or 125 ways to pick the 1st, 2nd, and 3rd digits.\r\n" ); document.write( "For each of those 125 ways, we can pick the 4th digit any of these 5 ways:\r\n" ); document.write( "1, 2, 3, 4 or 5\r\n" ); document.write( "That's (5)(5)(5)(5) or 625 ways to pick the 1st, 2nd, 3rd, and 4th digits.\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |