document.write( "Question 1069231: (i) Find how many different numbers can be formed using 4 of the digits 1, 2, 3, 4, 5, 6 and 7 if no digit is repeated.
\n" ); document.write( "(iii) odd and less than 3000
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "ans
\n" ); document.write( "480 \n" ); document.write( "

Algebra.Com's Answer #684431 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( " (i) Find how many different numbers can be formed using 4 of the digits 1, 2, 3, 4, 5, 6 and 7 if no digit is repeated.
\n" ); document.write( "(iii) odd and less than 3000
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "(i)   Any of 7 digits in the first position (first counting from the left, which is \"thousands\" digit);\r\n" );
document.write( "\r\n" );
document.write( "      Any of 6 remaining g digits in the next position;\r\n" );
document.write( "\r\n" );
document.write( "      Any of 5 remaining g digits in the next position;\r\n" );
document.write( "\r\n" );
document.write( "      Any of 4 remaining g digits in the next position.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      In all,  7*6*5*4 = 840 numbers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(ii)  It is not clear to me if repeating is allowed in this case.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );