A maths professor at IIT Guwahati asked one of his students to visit his house regarding some work. The student asked the professor his house number. The professor replied in a strange way:
1. If my house number is a multiple of 3, then it is a number from 50 to 59.
2. If my house number is not a multiple of 4, then it is a number from 60 to 69.
3. If my house number is not a multiple of 6, then it is a number from 70 to 79.
What is the sum of the digits in the professor’s house number?
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