Question 7
The finalists of a singing contest are Alice, Bob and Chris. Each judge voted for exactly one of the three participants. According to Dennis, there were 59 judges, with 30 voting for Alice or Bob, 13 voting for Bob or Chris, and 10 voting for Chris or Alice. However, Dennis has poor eyesight and each of the four counts which he provided could be off by up to 13. Exactly how many judges voted for Alice?