document.write( "Question 883540: Hello there, I need some help with my homework :) the question is
\n" ); document.write( "How many 4 digit numbers may be formed that are greater than 3,255 from the numbers, 2,3,4,5 and 6, if repetition is allowed?
\n" ); document.write( "My first answer was 410 but then I tried to do it again and the result was 406.. I might be right and I might be wrong and I just wanted to make sure please help thank you so much and have a great day:) \n" ); document.write( "
Algebra.Com's Answer #533598 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
I get a different number.
\n" ); document.write( "I checked by figuring it different ways, but I might be missing something.
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\n" ); document.write( "If you use 4, 5, or 6 as the first digit, your number will surely be greater than 3,255.
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\n" ); document.write( "The first digit cannot be 2, and that greatly limits the choices.
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\n" ); document.write( "Choosing 3 as the first digit limits your choices for the other digits, because
\n" ); document.write( "3,222, 3,223, 3,224, 3,225, 3,226,
\n" ); document.write( "3,232, 3,233, 3,234, 3,235, 3,236,
\n" ); document.write( "3,242, 3,243, 3,244, 3,245, 3,246,
\n" ); document.write( "3,252, 3,523, 3,254, and 3,255 are not greater than 3,255,
\n" ); document.write( "so you have \"19\" less choices.
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\n" ); document.write( "Other than the limitations above,
\n" ); document.write( "you have 5 choices (2, 3, 4, 5, or 6) for each digit.
\n" ); document.write( "That gives you \"5%2A5%2A5=125\" choices for the last 3 digits.
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\n" ); document.write( "Using 3, 4, 5, or 6 as a first digit (4 choices),
\n" ); document.write( "combined with those \"125\" choices for the last 3 digits gives you
\n" ); document.write( "\"4%2A125=500\" numbers that
\n" ); document.write( "use only 2, 3, 4, 5, and 6 as digits, with 3, 4, 5, or 6 as first digit.
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\n" ); document.write( "If we subtract from those \"500\" numbers
\n" ); document.write( "the \"19\" that start with 3 and are not greater than 3,255,
\n" ); document.write( "we get \"500-19=highlight%28481%29\".
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\n" ); document.write( "NOTE: Listing the numbers is not a good way to count them.
\n" ); document.write( "I tried listing the numbers that started with 3,
\n" ); document.write( "and my count did not add up, because I was missing some numbers.
\n" ); document.write( "I know I make lots of distracted mistakes, so I always try to check my results.
\n" ); document.write( "I check using different ways, because when figuring things the same way, I usually make the same mistake. \n" ); document.write( "
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