Solution: We are to count how many integers from 1 to 120 are relatively prime to 12. This is given by Euler’s totient function applied to the set of positions, but since the condition is relative primality with 12, we compute $ \phi(12) $, the number of integers from 1 to 12 that are coprime to 12, and then multiply by the number of full cycles in 120. - Crosslake