1911-12.] Point Binomials and Mendelian Distributions. 
405 
Case (a). 
(acC) + 2(ab) + (bb') + • + ( cc ) + 2 (ct?) + (del') , 
or 
2(ac) + 2 (be) + 2 (bd) 
+ 2 (ad) , 
or 
1 + 2 + 3 + 4 + 3 + 2 + 1, 
or Case (2) from a different reason. 
Case ( b ). 
(ctrt) + 2 ($6) + (6&) +• + •+• + (cc) + 2(c^) + (rfc?) 
2(ac) 2(ari) 2(6d) 
2(6c) , 
or 
1 + 2 + 1 + 2 + 4 + 2 + 1+ 2 + 1, 
(1 + 1 + 0 + 1 + 1)2 . 
Case (c). 
(aa) + 2 (ab) + (bb) + • + 
+ • 
+ • + (cc) + 2(cd) + (dd) 
2(ac) 
2 (ad) 
Z(bc) 
2 (bd) 
1 + 2 + 1 + 0 + 2 
+ 4 
+ 2 + 0+1 + 2+1, 
or Case (3) again. 
(Issued separately October 31 , 1912 .) 
