There are 5 "4 player" combos:
abcd
abce
abde
acde
bcde
Because 6 different scores were given, then one is wrong.
We're asked for POSSIBLE highest score; so we assume the
lowest given of 130 is wrong...in order to leave highest POSSIBLE.
180+170+160+150+140 = 800
Each player is included 4 times: see above combos.
So the 5 players total is 800/4 = 200
Code:
a b c d e
30 40 50 60 : 180 (since all 5 = 200, then e = 20)
30 40 50 20 : 140
30 40 60 20 : 150
30 50 60 20 : 160
40 50 60 20 : 170
Hmmm....all combined scores covered; so looks like 60 is highest...
BUT don't bet the farm on it: not sure if that's unique. G'nite.
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