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Canadian Open Math Challenge
2017 Canadian Open Math Challenge
B2
B2
Part of
2017 Canadian Open Math Challenge
Problems
(1)
2017 COMC B2
Source:
10/12/2018
Source: 2017 Canadian Open Math Challenge, Problem B2 —-- There are twenty people in a room, with
a
a
a
men and
b
b
b
women. Each pair of men shakes hands, and each pair of women shakes hands, but there are no handshakes between a man and a woman. The total number of handshakes is
106
106
106
. Determine the value of
a
ā
b
a \cdot b
a
ā
b
.
Comc
2017 COMC