3 person were given certain calculations to perform. The calculations were 1 + 1, 1 +-1+2, and 1 +2. Their respective answers were 3,3 and 2. How many of them are mathematicians
(I) Mathematicians can never add two numbers correctly, but they add three numbers correctly
(II) Whenever the mathematicians add two numbers there is a mistake of +1 or -1