document.write( "Question 906386: in how many ways can 10 children be seated in a row of 5 \n" ); document.write( "
Algebra.Com's Answer #549783 by Edwin McCravy(20055)\"\" \"About 
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document.write( "Suppose we label the seats seat 1, seat 2, seat 3, seat 4, and seat 5.\r\n" );
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document.write( "We can choose the child for seat 1 any of 10 ways.\r\n" );
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document.write( "For each of those 10 ways we can choose the child for the\r\n" );
document.write( "seat 1, there are 9 children left to choose to sit in\r\n" );
document.write( "seat 2.\r\n" );
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document.write( "That's 10*9 or 90 ways to choose children to sit in seats\r\n" );
document.write( "1 and 2.\r\n" );
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document.write( "For each of those 10*9 or 90 ways we can choose the children\r\n" );
document.write( "for seats 1 and 2, there are 8 children left to choose to \r\n" );
document.write( "sit in seat 2.\r\n" );
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document.write( "That's 10*9*8 or 720 ways to choose children to sit in seats\r\n" );
document.write( "1, 2 and 3.\r\n" );
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document.write( "For each of those 10*9*8 or 720 ways we can choose the children\r\n" );
document.write( "for seats 1, 2 and 3, there are 7 children left to choose to \r\n" );
document.write( "sit in seat 4.\r\n" );
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document.write( "That's 10*9*8*7 or 5040 ways to choose children to sit in seats\r\n" );
document.write( "1, 2, 3 and 4. \r\n" );
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document.write( "For each of those 10*9*8*7 or 5040 ways we can choose the children\r\n" );
document.write( "for seats 1, 2, 3, and 4 there are 6 children left to choose to \r\n" );
document.write( "sit in seat 5.\r\n" );
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document.write( "That's 10*9*8*7*6 or 30240 ways to choose children to sit in \r\n" );
document.write( "seats 1, 2, 3, 4 and 5.\r\n" );
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document.write( "That's the permutations of 10 things taken 5 at a time or\r\n" );
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document.write( "\"10 position 5\" or P(10,5) = 10*9*8*7*6 = 30240.\r\n" );
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document.write( "Edwin
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