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n number of permutations of n elements number of permutations of n elements with no fixed points property of permutations of n elements with no fixed points
0 1 1 1
1 1 0 0
2 2 1 0.6
3 6 2 0.4
4 20 9 0.46
5 X0 38 0.449724972497249724972497
6 500 1X1 0.45
7 2E00 10X6 0.44E7X76620828XE7X7662083
8 1E400 8701 0.44E849724972497249724972
9 156000 65308 0.44E8414559E39310414559E4
X 1270000 544669 0.44E84223E88604E2E4716E14
E 11450000 4E02022 0.44E842152566E04X42152567
10 114500000 4E020221 0.44E842161298X194893XXX02
11 1259500000 53E222430 0.44E8421604X5009066E12980
12 14X8EX00000 6270668E61 0.44E84216056E3430X1E542X0
13 191529600000 79298252472 0.44E84216056456509E103411
14 241XE88000000 X438XE2E2169 0.44E842160564X7953E321192
15 33X86734000000 1281375E1X0268 0.44E842160564X42164X9905X
16 4EX09XE00000000 1X01E52X8903X01 0.44E842160564X4464E307E28
17 7X8E383500000000 2XX31136EX360X16 0.44E842160564X444X8488760
18 111XXX198400000000 4X111X1E791X14X61 0.44E842160564X444E7406236
19 1E040E91E7000000000 857E02954702856478 0.44E842160564X444E699589X
1X 3627596972X000000000 136462513X4X4E618609 0.44E842160564X444E6X0X7E9
1E 68E041404X52000000000 25927X7964E3E60933752 0.44E842160564X444E6X08X76
20 115X0828098X40000000000 4E65393709X7E016672X41 0.44E842160564X444E6X08E62

The limit of property of n --> oo is 1/e ≈ 0.44E842160564X444E6X08E59

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