document.write( "Question 1116175: How many three digit numbers can be formed from the set 0-9 if repetition are allowed and the number must be
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document.write( "a) even
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document.write( "b) divisible by 5?
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document.write( "c)divisible by 10? \n" );
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Algebra.Com's Answer #731019 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! How many three digit numbers can be formed from the set 0-9 if repetition are allowed and the number must be \n" ); document.write( "a) even \n" ); document.write( " \r\n" ); document.write( "Choose the first digit as any of these 9 ways: {1,2,3,4,5,6,7,8,9}\r\n" ); document.write( "Choose the second digit as any of these 10 ways: {0,1,2,3,4,5,6,7,8,9}\r\n" ); document.write( "Choose the third digit as any of these 5 ways: {0,2,4,6,8}\r\n" ); document.write( "\r\n" ); document.write( "Answer: 9×10×5 = 450 ways.\r\n" ); document.write( " \n" ); document.write( "b) divisible by 5? \n" ); document.write( " \r\n" ); document.write( "Choose the first digit as any of these 9 ways: {1,2,3,4,5,6,7,8,9}\r\n" ); document.write( "Choose the second digit as any of these 10 ways: {0,1,2,3,4,5,6,7,8,9}\r\n" ); document.write( "Choose the third digit as either of these 2 ways: {0,5}\r\n" ); document.write( "\r\n" ); document.write( "Answer: 9×10×2 = 180 ways.\r\n" ); document.write( " \n" ); document.write( "c)divisible by 10? \n" ); document.write( " \r\n" ); document.write( "Choose the first digit as any of these 9 ways: {1,2,3,4,5,6,7,8,9}\r\n" ); document.write( "Choose the second digit as any of these 10 ways: {0,1,2,3,4,5,6,7,8,9}\r\n" ); document.write( "Choose the third digit as this 1 way: {0}\r\n" ); document.write( "\r\n" ); document.write( "Answer: 9×10×1 = 90 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |