Miscellanea 
Number of Houses 
Attacked 
Dhand 
Kasel 
Calculated 
Observed 
Calculated 
Observed 
Never 
Once 
Twice 
Thrice 
Four times 
141-495 
196-77 
71-26 
8-19 
0-285 
136 
208 
65 
9 
0 
224-30 
350-58 
189-22 
39-62 
2-28 
209 
383 
169 
43 
2 
Totals 
418 
418 
806 
806 
Formulae (1) may be written, in reverse order, 
(3) F u = P n , 
P — P — nP 
■*■ n — \ ■*■ 7i — 1 ' tJ - ?iT 
^_ 2 =P B _ 2 -(»-l) P 7l _ 1+ -^-^ P n , 
^ p : in P , (n-r + 2)(n-r+l) p 
-+(-) 
In the special case where a—b = c=... = p, we have 
Pn-\ — ifin-lP n ~ l = np n , 
n(n-l)... (n-r + 1 ) 
~T72...r n 
and generally 
Thus by (3) 
P = C, r> n - r = 
{n-r) \ rl pn 
K =P n , 
F o = 
n (n — l) 0 , 0 
and so on, giving again the well-known result 
