SOLUTION: The 20 balls in a box (5 Balls with A on them, 10 Balls with B on them, 7 Balls with C on them) have either 0 (blank), 1, or 2 letters on them. If five balls have only a C on them

Question 1042400: The 20 balls in a box (5 Balls with A on them, 10 Balls with B on them, 7 Balls with C on them) have either 0 (blank), 1, or 2 letters on them. If five balls have only a C on them, two balls have only a B on them, and two balls have an A and a C on them, what is the maximum number of balls that can be blank?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

What you describe is impossible. If two balls have A and C on them and five balls have only C, then all 7 Cs are accounted for. Also, two of the five As are accounted for, leaving three As. If two balls have only a B on them, that leaves 8 Bs that must be paired with As since all of the Cs are used, but there are only three As. Impossible.

John

My calculator said it, I believe it, that settles it

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