document.write( "Question 549939: There are 2 work each of 3 volumes and 2 work each of 2 volumes. In how many ways can the 10 books be placed on a shelf so that the volumes of same work are not separated ?
\n" ); document.write( "Answer- 3456 \n" ); document.write( "

Algebra.Com's Answer #358242 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
you have 4 different works.
\n" ); document.write( "on a shelf, they can be arranged in 24 ways.
\n" ); document.write( "using the permutation formula, this works out to be:
\n" ); document.write( "4! = 4*3*2*1 = 24
\n" ); document.write( "each of the 3 volume works can be arranged in 6 ways.
\n" ); document.write( "using the permutation formula, this works out to be:
\n" ); document.write( "3! = 3*2*1 = 6
\n" ); document.write( "each of the 2 volume works can be arranged in 2 ways.
\n" ); document.write( "using the permutation formula, this works out to be:
\n" ); document.write( "2! = 2*1 = 2
\n" ); document.write( "for each of the 24 possible arrangements of works, you have 6 * 6 * 2 * 2 possible arrangements within each work.
\n" ); document.write( "this comes out to be 24 * 6 * 6 * 2 * 2 = 3456
\n" ); document.write( " \n" ); document.write( "

\n" );