document.write( "Question 1134616: If repetition is allowed, how many three-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6?\r
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document.write( "If repetition is not allowed, how many three-digits numbers can be formed using the digitsn1, 2, 3, 4, 5, 6?\r
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document.write( "The notes aren’t making sense. Thank you. \n" );
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Algebra.Com's Answer #752050 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! If repetition is allowed, how many three-digit numbers can be formed using the \n" ); document.write( "digits 1, 2, 3, 4, 5, 6? \n" ); document.write( " \r\n" ); document.write( "We can pick the first digit in any of 6 ways,\r\n" ); document.write( "\r\n" ); document.write( "For each of the 6 ways we can pick the first digit,\r\n" ); document.write( "we can pick the second digit any of the same 6 ways.\r\n" ); document.write( "So there are 6×6 or 36 ways to pick the first two digits.\r\n" ); document.write( " \r\n" ); document.write( "For each of the 6×6 or 36 ways we can pick the first two digits,\r\n" ); document.write( "we can pick the third digit any of the same 6 ways.\r\n" ); document.write( "So there are 6×6×6 or 216 ways to pick the three digits.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 216\r\n" ); document.write( " \n" ); document.write( "If repetition is not allowed, how many three-digits numbers can be formed using \n" ); document.write( "the digits 1, 2, 3, 4, 5, 6? \n" ); document.write( " \r\n" ); document.write( "We can pick the first digit in any of 6 ways,\r\n" ); document.write( "\r\n" ); document.write( "For each of the 6 ways we can pick the first digit,\r\n" ); document.write( "we can only pick the second digit any of 5 ways, since we can't use the digit we\r\n" ); document.write( "picked for the first digit.\r\n" ); document.write( "So there are 6×5 or 30 ways to pick the first two digits.\r\n" ); document.write( " \r\n" ); document.write( "For each of the 6×5 or 30 ways we can pick the first two digits,\r\n" ); document.write( "we can only pick the third digit any of 4 ways, since we can't use either of the\r\n" ); document.write( "two digits we picked for the first and second digits.\r\n" ); document.write( "So there are 6×5×4 or 120 ways to pick the three digits.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 120\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |