document.write( "Question 1067142: A three-digit number is formed using digits from 1-5
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document.write( "How many even numbers can be formed using three different digits?
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document.write( "How many even numbers can be formed if digits may be repeated?
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document.write( "How many multiples of five can be formed of digits can be repeated? \n" );
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Algebra.Com's Answer #682365 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "A three-digit number is formed using digits from 1-5 \r\n" ); document.write( "\r\n" ); document.write( "How many even numbers can be formed using three different digits?\r\n" ); document.write( "\r\n" ); document.write( "Always choose the most restrictive digit first.\r\n" ); document.write( "That would be the last digit, which can only be 2 or 4.\r\n" ); document.write( "\r\n" ); document.write( "We can choose the last digit 2 ways.\r\n" ); document.write( "We then choose the first digit as any of the 4 remaining digits.\r\n" ); document.write( "We then choose the middle digit as any of the 3 remaining digits.\r\n" ); document.write( "Answer (2)(4)(3) = 24 ways.\r\n" ); document.write( "\r\n" ); document.write( "How many even numbers can be formed if digits may be repeated? \r\n" ); document.write( "\r\n" ); document.write( "We can choose the last digit 2 ways, as 2 or 4.\r\n" ); document.write( "We then choose the first digit as any of the 5 digits.\r\n" ); document.write( "We then choose the middle digit as any of the 5 digits.\r\n" ); document.write( "Answer (2)(5)(5) = 50 ways.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "How many multiples of five can be formed if digits can be repeated? \r\n" ); document.write( "\r\n" ); document.write( "We can choose the last digit 1 way, as 5.\r\n" ); document.write( "We then choose the first digit as any of the 5 digits.\r\n" ); document.write( "We then choose the middle digit as any of the 5 digits.\r\n" ); document.write( "Answer (1)(5)(5) = 24 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |