a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one…

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a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc and ca is odd. abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b and c. How many such triplets are possible (unordered triplets)?

  1. A.

    8

  2. B.

    6

  3. C.

    2

  4. D.

    4

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