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1. We have n distinct objects, some of which we are distributing among Alice, Bob, and Charlie.
Out of these n objects, we give a objects to Alice, b objects to Bob, and c objects to Charlie. Give
n,a,b, and c such that the number of ways we can do this is equal to (169)(93)(61). Show your
calculations and justify your answer. (Hint: Systematic methods exist. Brute-force methods can be
resorted to by expanding the expression.) n=a=.b=c=

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