1979 USAMO Problems/Problem 3
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Problem
is an arbitrary sequence of positive integers. A member of the sequence is picked at
random. Its value is 
. Another member is picked at random, independently of the first. Its value is 
. Then a third value, 
. Show that the probability that $a \plus{ } b \plus{ } c$ (Error compiling LaTeX. Unknown error_msg) is divisible by 
is at least 
.
