First, determine the total number of possible symbol counts: from 1 to 36, so there are 36 possible values.
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- + 3 + 7 = 12
- Thus, the sum of the distinct prime factors is \(\boxed{12}\).
- Question:** An archaeologist finds two stone tablets with inscriptions totaling 36 symbols. What is the probability that a randomly selected symbol count \( n \) (from 1 to 36, inclusive) is a factor of 36?
- Next, find how many positive integers \( n \) in this range are factors of 36. Begin with the prime factorization:
- = 2^2 \times 3^2
- The number of positive factors is:
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