Question: For distinct primes p, q let A = {pmqn}0 < m < 31, 0 < n < 37}. (a) What is |A|? (b) If f:

For distinct primes p, q let A = {pmqn}0 < m < 31, 0 < n < 37}. (a) What is |A|? (b) If f: A × A → A is the closed binary operation defined by f(a, b) = gcd (a, b), does f have an identity element?

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