document.write( "Question 892689: Find the number of ways of arranging the letters of the word CALENDAR in such a way that exactly 2 letters are present between L and D. \n" ); document.write( "
Algebra.Com's Answer #540707 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "L _ _ D _ _ _ _\r\n" );
document.write( "_ L _ _ D _ _ _\r\n" );
document.write( "_ _ L _ _ D _ _\r\n" );
document.write( "_ _ _ L _ _ D _\r\n" );
document.write( "_ _ _ _ L _ _ D\r\n" );
document.write( "D _ _ L _ _ _ _\r\n" );
document.write( "_ D _ _ L _ _ _\r\n" );
document.write( "_ _ D _ _ L _ _\r\n" );
document.write( "_ _ _ D _ _ L _\r\n" );
document.write( "_ _ _ _ D _ _ L\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For each of those 10 ways above to have exactly 2 letters between the letters \r\n" );
document.write( "L and D, the blanks can be filled with all distinguishable arrangements of the\r\n" );
document.write( "6 letters CAENAR, which has 2 indistinguishable A's.  The number of\r\n" );
document.write( "distinguishable arrangements of CAENAR is \"6%21%2F2%21\"\r\n" );
document.write( "\r\n" );
document.write( "So the final answer is: \"10%2A%286%21%2F2%21%29\"\"%22%22=%22%22\"\"3600\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );