document.write( "Question 488859: Any help would be so appreciated. Thank you.\r
\n" ); document.write( "\n" ); document.write( "10 books are to be arranged on a shelf. 4 of the books have red covers, 3 have green covers, and another 3 have gray covers. In how many ways can the books be arranged on a shelf if books of the same color must be arranged together? \n" ); document.write( "
Algebra.Com's Answer #333468 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Without ordering the books of the same color,
\n" ); document.write( "here is the possible ways to order books of different colors:
\n" ); document.write( "(1) [ 4 red ][ 3 green ][ 3 gray ]
\n" ); document.write( "(2) [ 4 red ][ 3 gray ][ 3 green ]
\n" ); document.write( "----------------------
\n" ); document.write( "(3) [ 3 green ][ 4 red ][ 3 gray ]
\n" ); document.write( "(4) [ 3 gray ][ 4 red ][ 3 green ]
\n" ); document.write( "----------------------
\n" ); document.write( "(5) [ 3 gray ][ 3 green ][ 4 red ]
\n" ); document.write( "(6) [ 3 green ][ 3 gray ][ 4 red ]
\n" ); document.write( "----------------------
\n" ); document.write( "So, there are 6 different ways to order
\n" ); document.write( "books of different colors (1) through (6)
\n" ); document.write( "The possible ways that books of the same color
\n" ); document.write( "can be ordered for each of the (6) is:
\n" ); document.write( "\"+4%21+%2A+3%21+%2A+3%21+=+24%2A6%2A6+\"
\n" ); document.write( "\"+24%2A6%2A6+=+864+\"
\n" ); document.write( "----------------------
\n" ); document.write( "You can have (1) OR (2) OR (3) OR (4) OR (5) OR (6)
\n" ); document.write( "So, the choices for different color orderings get added
\n" ); document.write( "\"+864+%2B+864+%2B+864+%2B+864+%2B+864+%2B+864+=+5184+\"
\n" ); document.write( "There are 5184 possible arrangements of the books
\n" ); document.write( "You should get other opinions, too.\r
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