document.write( "Question 1032424: In how many ways can 5 red, 3 blue, and 2 yellow books be arranged on a shelf with no restrictions? In how many distinguishable ways can 5 red, 3 blue, and 2 yellow books if books of the same color are identical? \n" ); document.write( "
Algebra.Com's Answer #647075 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "In how many ways can 5 red, 3 blue, and 2 yellow books be arranged on a shelf with no restrictions?
\n" ); document.write( "In how many distinguishable ways can 5 red, 3 blue, and 2 yellow books \"highlight%28can_be_arranged%29\" if books of the same color are identical?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "1.  In how many ways can 5 red, 3 blue, and 2 yellow books be arranged on a shelf with no restrictions? \r\n" );
document.write( "\r\n" );
document.write( "    (5 + 3 + 2)! = 10! = 3628800 ways.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  In how many distinguishable ways can 5 red, 3 blue, and 2 yellow books can be arranged if books of the same color are identical?\r\n" );
document.write( "\r\n" );
document.write( "    \"%285%2B3%2B2%29%21%2F%285%21%2A3%21%2A2%21%29\" = \"%2810%2A9%2A8%2A7%2A6%29%2F%28%281%2A2%2A3%29%2A%281%2A2%29%29\" = 10*9*4*7 = 2520 ways.\r\n" );
document.write( "

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