Let p and q be distinct primes .Suppose that H is a proper subset f the integers under addition that contains exactly three elements of the set{ p , p + q , pq , p^q , q^p } . Determine which of the following are the 3 elements of H.

(a) pq , p^q , q^p

(b) p + q , pq , p^q

(c) p , p + q , pq

(d) p , p^q , q^p

(e) p , pq, p^q