The equivalent resistance of network of three 2 Ohm resistors, arranged either in parallel or series combination, can never be equal to:
2 Ohm
It's not possible to obtain the resultant resistance as equal to value of the individual resitance with a set of 3 resistors in either parallel or series arrangement.
We can get 0.67 ohms if we put the resistors in parallel.
We can get 6 ohms if we put the resistors in series.
We can get 3 ohms if we put two resistors parallel to each other and the third one in series.