document.write( "Question 1030694: How many ways can 5 children line up to get on the school bus if Jenny always gets on third? \n" ); document.write( "
Algebra.Com's Answer #645512 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Choose the child to get on first any of the 4 children besides Jenny.\r\n" );
document.write( "For each of those 4 choices for the child to get on first, there are 3\r\n" );
document.write( "ways to choose the child to get on second as any of 3 the children\r\n" );
document.write( "other than Jenny and the child chosen to get on first.\r\n" );
document.write( "That's 4*3 or 12 ways to choose the first two children to get on the bus.\r\n" );
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document.write( "For each of those 12 ways to choose the two children to get on first and \r\n" );
document.write( "second, there is only 1 way to choose the child that gets on third, for \r\n" );
document.write( "that can only be Jenny.\r\n" );
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document.write( "That's 4*3*1 = 12 ways to choose the first 3 children to get on the bus\r\n" );
document.write( "first second and third.\r\n" );
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document.write( "For each of those 12 ways to choose the first 3 children to get on the\r\n" );
document.write( "bus there are 2 ways to choose the child that gets on fourth, the two\r\n" );
document.write( "remaining children.\r\n" );
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document.write( "That's 4*3*1*2 = 24 ways to choose the first 4 children to get on the bus.\r\n" );
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document.write( "That leave only 1 child to pick to get on the bus last or fifth. \r\n" );
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document.write( "For each of the 24 ways to pick the first 4 children to get on the bus,\r\n" );
document.write( "there is only 1 way to pick the last one.\r\n" );
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document.write( "That's 4*3*1*2*1 = 24 ways to choose 5 children to get on the bus in order,\r\n" );
document.write( "with Jenny always getting on third.\r\n" );
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document.write( "Answer: 24 = 4!\r\n" );
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document.write( "Edwin
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