document.write( "Question 1132628: how many three-digit natural numbers greater than 330 can be formed from the digits 0,1,2,3,4,5 and 6 when each digit can be used only once?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #749724 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
how many three-digit natural numbers greater than 330 can be formed from the digits $\"0\"$ , $\"1\"$ , $\"2\"$ , $\"3\"$ , $\"4\"$ , $\"5\"$ and 6 when each digit can be used only once?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Case 1: All those between $\"330\"$ and $\"400\"$ \r
\n" ); document.write( "\n" ); document.write( "Choose the first digit $\"1\"$ way (as $\"3\"$ )
\n" ); document.write( "That leaves $\"6+\"$ unchosen digits.
\n" ); document.write( "Choose the second digit any of $\"+3+\"$ way $\"s\"$ , $\"4\"$ , $\"5\"$ , or $\"6\"$
\n" ); document.write( "That leaves $\"5\"$ unchosen digits
\n" ); document.write( "Choose the third digit any of these $\"5\"$ ways.\r
\n" ); document.write( "\n" ); document.write( "Answer case 1: $\"1%2A3%2A5+=+15\"$ ways.\r
\n" ); document.write( "\n" ); document.write( "Case 2: Those greater than $\"400\"$ \r
\n" ); document.write( "\n" ); document.write( "Choose the first digit any of $\"3\"$ ways, $\"4\"$ , $\"5\"$ , or $\"6\"$
\n" ); document.write( "That leaves $\"6\"$ remaining unchosen digits.
\n" ); document.write( "Choose the second digit any of these $\"6\"$ remaining unchosen digits.
\n" ); document.write( "That leaves $\"+5+\"$ remaining unchosen digits.
\n" ); document.write( "Choose the third digit any of these $\"5\"$ remaining unchosen digits.\r
\n" ); document.write( "\n" ); document.write( "Answer to case 2: $\"3%2A6%2A5+=+90\"$ ways.\r
\n" ); document.write( "\n" ); document.write( "Total for both cases: $\"15%2B90+=+105+ways\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );