1.potential number of beg boards: 151473214816
64 choose 10
choose k elements from n elements: u can do in n!/[(k!)*(n-k)!] ways
for int and exp the number of boards would be too high
40@16x16 : 1.04921249538771E47
99@16x30 : 5.60220999337422E104
2.number of beg boards with number 8:
choose number 8 from 6x6 field in the middle: 36!/[(1!)*(36-1)!] = 36
number 8 = 8 mines used. Now put remaining 2 mines in 64-9 = 55 squares: 55!/[(2!)*(55-2)!]= 1485
and finally 36*1485 = 53460
Chance for a beg board with number 8: 53460/151473214816
By Kamil
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