document.write( "Question 1159622: How many ways can you order the letters of TORONTO if you must begin with exactly 2 O's? \n" ); document.write( "

Algebra.Com's Answer #783518 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The number of ways to arrange the letters to begin with EXACTLY two O's is the total number of ways to arrange the letters beginning with AT LEAST 2 O's, minus the number of ways to arrange them starting with 3 O's.

\n" ); document.write( "The number of ways to arrange the letters starting with AT LEAST 2 O's is the number of ways of arranging the letters TRNTO, which is $\"5%21%2F2%21+=+120%2F2+=+60\"$

\n" ); document.write( "The number of ways of arranging the letters starting with 3 O's is the number of ways of arranging the letters TRNT, which is $\"4%21%2F2%21+=+24%2F2+=+12\"$ .

\n" ); document.write( "The number of ways of arranging the letters starting with EXACTLY 2 O's is 60-12 = 48.

\n" ); document.write( "ANSWER: 48 ways to arrange the letters of TORONTO starting with exactly two O's.

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

\n" );