document.write( "Question 1071464: In how many ways can 11 students be seated in their chairs so that exactly one seats on his or her own chair
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Algebra.Com's Answer #686419 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "     In combinatorial mathematics, a derangement is a permutation of the elements of a set, such that no element appears in its original position. \r\n" );
document.write( "     In other words, derangement is a permutation that has no fixed points.\r\n" );
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document.write( "You have here derangements for 10 objects (one of 11 objects is fixed).\r\n" );
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document.write( "Starting with n = 1, the numbers of derangements of n are:\r\n" );
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document.write( "n= 1  2  3  4   5    6     7      8       9       10        11         12\r\n" );
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document.write( "   0, 1, 2, 9, 44, 265, 1854, 14833, 133496, 1334961, 14684570, 176214841, . . .\r\n" );
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document.write( "Your number is   1334961.\r\n" );
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