document.write( "Question 918490: if repetation is not permited then the six digit us 1,2,3,4,5,7
\n" ); document.write( "then how many ways are less than 4000? \n" ); document.write( "

Algebra.Com's Answer #557134 by KMST(5328) $\"\"$ $\"About$

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If repetition is not allowed, using the six digits 1, 2, 3, 4, 5, and 7,
\n" ); document.write( "we can make $\"6%2A5%2A4%2A3=360\"$ sequences of 4 digits.
\n" ); document.write( "Each of the six digits used has equal chance of being the first digit,
\n" ); document.write( "and since of those digits are less than 4,
\n" ); document.write( "half of the 4-digit numbers formed will be less than 4000.
\n" ); document.write( "That makes $\"360%2F2=180\"$ 4-digit numbers that are less than 4000.
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\n" ); document.write( "If the number of digits does not matter, using the six digits 1, 2, 3, 4, 5, and 7,
\n" ); document.write( "you can make $\"6\"$ 1-digit numbers,
\n" ); document.write( " $\"6%2A5=30\"$ 2-digit numbers, and
\n" ); document.write( " $\"6%2A5%2A4=120\"$ 3-digit numbers,
\n" ); document.write( "for a total of
\n" ); document.write( " $\"180%2B120%2B30=331\"$ numbers that are less than 4000.
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