If y and z are integers and the sum of yz and z is odd which of the following is true? (I) y and z are even (II) y is odd and z is even (III) y is even and z is odd?

1. A Option A: I and II
2. B Option B: II only
3. C Option C: II and III
4. D Option D: III only
5. E Option E: I II III

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