document.write( "Question 397256: Consider the numbers between 100 and 400. How many of these numbers are even and have no repetition of digits?\r
\n" ); document.write( "\n" ); document.write( "Case 1: 2 or 3 in first position and 0 in last position: 2x8x1 = 16\r
\n" ); document.write( "\n" ); document.write( "Case 2: 1 or 3 in first position and 2 in last position: 2x8x1 = 16\r
\n" ); document.write( "\n" ); document.write( "Case 3: 1,2 or 3 in first position and 4,6,8 in last position: 3x8x3 = 72\r
\n" ); document.write( "\n" ); document.write( "Total:104....BUT the answer is 112. What am I missing?\r
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Algebra.Com's Answer #281587 by sudhanshu_kmr(1152)\"\" \"About 
You can put this solution on YOUR website!
case 1: when 1 at first place
\n" ); document.write( " no. of ways to put even digit at third position = 5
\n" ); document.write( " no. of ways to put any remaining digit at second position = 8
\n" ); document.write( " (except 1 and digit at third position)
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\n" ); document.write( " total no. of possible numbers = 5*8 = 40\r
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\n" ); document.write( "\n" ); document.write( "case 2: when 3 at first place, similar to previous condition\r
\n" ); document.write( "\n" ); document.write( "total no. of possible numbers = 5*8 = 40\r
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\n" ); document.write( "\n" ); document.write( "case 3: when 2 at first place,
\n" ); document.write( " no. of ways to put even digit at third position = 4 (except 2)
\n" ); document.write( " no. of ways to put any remaining digit at second position = 8
\n" ); document.write( " (except 1 and digit at third position) \r
\n" ); document.write( "\n" ); document.write( " total no. of possible numbers = 4*8 = 32\r
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\n" ); document.write( "\n" ); document.write( "total = 40+40+32 = 112\r
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\n" ); document.write( "\n" ); document.write( "try to understand the concept .........\r
\n" ); document.write( "\n" ); document.write( "for any query you are welcome to contact by e-mail..\r
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\n" ); document.write( "\n" ); document.write( "Mistake in your solution...
\n" ); document.write( "in case 1 (when 0 at last place)
\n" ); document.write( "first position can be filled by 3 ways (1,2 or 3).
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