document.write( "Question 943372: College randomly assigns students to 5 dorms. if 3 friends apply to live in these dorms, what is probability they are assigned to same dorm? What is probability they are assigned to different dorms? \n" ); document.write( "
Algebra.Com's Answer #575144 by Edwin McCravy(20055)\"\" \"About 
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College randomly assigns students to 5 dorms. if 3 friends apply to live in these dorms, what is probability they are assigned to same dorm? What is probability they are assigned to different dorms?
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document.write( "Suppose the friends are A, B and C.\r\n" );
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document.write( " \"%22%22=%22%22\"\r\n" );
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document.write( " \"%22%22=%22%22\"\r\n" );
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document.write( "\"%281%29%2A%281%2F5%29%2A%281%2F5%29\" \"%22%22=%22%22\" \"1%2F25\"\r\n" );
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document.write( "[Notice that the first probability is 1 because it is certain\r\n" );
document.write( "that A will be assigned to some dorm.]\r\n" );
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What is probability they are assigned to different dorms?
 \r\n" );
document.write( " \"%22%22=%22%22\"\r\n" );
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document.write( " \"%22%22=%22%22\"\r\n" );
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document.write( "\"%281%29%2A%284%2F5%29%2A%283%2F5%29\" \"%22%22=%22%22\" \"12%2F25\"\r\n" );
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document.write( "Edwin

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