Question 76801
Label the eight people as A B C D E F G H
Now list the combos that can be made


The A list
ABC ABD ABE ABF ABG ABH
ACD ACE ACF ACG ACH
ADE ADF ADG ADH
AEF AEG AEH
AFG AFH
AGH
21


The B list
BCD BCE BCF BCG BCH
BDE BDF BDG BDH
BEF BEG BEH
BFG BFH
BGH
15


The C list
CDE CDF CDG CDH
CEF CEG CEH
CFG CFH
CGH
10


The D list
DEF DEG DEH 
DFG DFH 
DGH
6


The E list
EFG EFH
EGH
3


The F list
FGH
1


Add up all the combos
21 + 15 + 10 + 6 + 3 + 1 = 56