document.write( "Question 143058: How many 5-digit numbers exist between 65,000 and 69,999 if each number has no repeated digits? \n" ); document.write( "

Algebra.Com's Answer #104100 by vleith(2983) $\"\"$ $\"About$

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The first digit must be a 6, so you have only one choice for that digit.
\n" ); document.write( "The next digit must be between 5 and 9, but not 6. So there are 4 choices.\r
\n" ); document.write( "\n" ); document.write( "The middle digit can be anything that is not already used. So there are 10-2 choices.
\n" ); document.write( "The fourth digit can also be anything, but cannot be already used. So 10-3.
\n" ); document.write( "The last digit is anything not used. 10-4\r
\n" ); document.write( "\n" ); document.write( "That yields:
\n" ); document.write( "1*4*8*7*6 = 1344 combos that lie between 65000 and 65999 with no repeated digits.\r
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