document.write( "Question 1149684: Twenty students, ten male and ten female, are to travel from school to the sports ground. Eight of them go in a minibus, six of them in cars, four of them on bikes and two walk.
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Algebra.Com's Answer #773432 by Edwin McCravy(20055)\"\" \"About 
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document.write( "We always choose the most restrictive things first.  \r\n" );
document.write( "The most restrictive are the 2 walkers, since they are girls not boys. \r\n" );
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document.write( "We choose the 2 walkers: 10 girls CHOOSE 2 = 10C2 = 45 ways.\r\n" );
document.write( "That leaves 18 students.\r\n" );
document.write( "We choose the 8 minibus riders: 18 students CHOOSE 8 = 18C8 = 43758 ways.\r\n" );
document.write( "That leaves 10 students.\r\n" );
document.write( "We choose the 6 car riders: 10 students CHOOSE 6 = 10C6 = 210 ways\r\n" );
document.write( "That leaves 4 students.\r\n" );
document.write( "We choose the 4 bike riders: 4 students CHOOSE 4 = 4C4 = 1 way.\r\n" );
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document.write( "Answer: (45)(43758)(210)(1) = 413513100\r\n" );
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document.write( "To show that it doesn't matter, after the most restrictive things are chosen\r\n" );
document.write( "first, what order the other non-restrictive things are chosen in, for look at\r\n" );
document.write( "this different order:\r\n" );
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document.write( "We choose the 2 walkers: 10 girls CHOOSE 2 = 10C2 = 45 ways.\r\n" );
document.write( "That leaves 18 students.\r\n" );
document.write( "We choose the 4 bike riders: 18 students CHOOSE 4 = 18C4 = 3060 ways.\r\n" );
document.write( "That leaves 14 students.\r\n" );
document.write( "We choose the 6 car riders: 14 students CHOOSE 6 = 14C6 = 3003 ways\r\n" );
document.write( "That leaves 8 students. \r\n" );
document.write( "We choose the 8 minibus riders: 8 students CHOOSE 8 = 8C8 = 1 way.\r\n" );
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document.write( "Answer: (45)(3060)(3003)(1) = 413513100\r\n" );
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document.write( "Different numbers were multiplied but the answer is exactly the same.\r\n" );
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document.write( "Edwin
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