document.write( "Question 1201567: In how many ways can you arrange 5 Mathematics books, 4 Science books, and 3 English books on a shelf such that books of the same subject are kept together?show your solution \n" ); document.write( "

Algebra.Com's Answer #836010 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "In how many ways can you arrange 5 Mathematics books, 4 Science books, and 3 English books
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document.write( "You have three groups of books, and you can arrange them as whole groups in \r\n" );
document.write( "3! = 3*2*1 = 6 different ways on te shelf.\r\n" );
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document.write( "After that, you can arrange 5 Math books in 5! = 5*4*3*2*1 = 120 different ways \r\n" );
document.write( "inside this group;\r\n" );
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document.write( "            you can arrange 4 Science books in 4! = 4*3*2*1 = 24 different ways \r\n" );
document.write( "inside this group;\r\n" );
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document.write( "            you can arrange 3 English books in 3! = 3*2*1 = 6 different ways \r\n" );
document.write( "inside that group.\r\n" );
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document.write( "Doing this way, you obtain 6*120*24*6 = 103680 different possible arrangements\r\n" );
document.write( "under given restrictions.\r\n" );
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