document.write( "Question 1138935: How many words can be formed using letter of DEPARTMENT using each letter
\n" ); document.write( "at most once?
\n" ); document.write( "i) If each letter must be used,
\n" ); document.write( "ii) If some or all the letters may be omitted. \n" ); document.write( "

Algebra.Com's Answer #756714 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " The post is not absolutely clear to be considered as a Math problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Let me explain why.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The given word \"DEPARTMENT\" has two identical letters \"E\" and two identical letters \"T\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "One part of the condition assign me to use each letter at most once.\r\n" );
document.write( "\r\n" );
document.write( "The other part says \"each letter must be used\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Under these instructions, I don't know if I can and if I should use the letter \"E\" twice.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Same about letter \"T\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Also, should I consider permutations of two different instances of \"E\" between themselves inside a word as giving different words ?\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As you, probably, understand, a TRUE MATH problem should not leave a room for such doubts.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );