70 
R37 -+m,3)=0", by (20). 
RR*(7 + m,8) =2?, 
es 
[8 
3 
REV. T. P. KIRKMAN ON THE 
by (21,f), (m>0). 
i. I5R9(7+m,8)=2°, by (22,/). 
j. in(7+ms)=1{ Gt 2” 8.28 28}, by 
(23,f). 
(h+i+J) gives, 
B. P(7+m,3)= ele) rein ae 
42%, (m>0); 
the number of triedral partitions of the (7+m)-ace in 
which three pairs of rays remain each a united pair, or of 
triangular partitions of the (7 +)-gon in which three tri- 
angles are marginal. 
k. P(9,4)=P(5) =R%(5,2) =R2(9,4)=1, by (4,a,25). 
1. R(9-+m,4)=24, (m>0), by (15,4). 
2|1 
Abie +1 ee ara 
: m-2 m= 
mn RR(O+m+4) = sige .27 —2*, by (17,h). 
2\1 
(F+1 ) mee m—4 
n. RR*(9+m,4)=—7—— + 2 = _2F by (18,4) 
kax=0. 
m+1\?!} 
3a! ee 
n. RR*(9 +-m,4) = >a - 2? (moda), by (18,4). 
jax=1. 
AN tate eo m—8 
0. sae a a Seah ig 
2\1 
asaya x 
rete I ye 
m+1,?!3 
(- 9 ) m—3 
# * by: (194). 
