Question

Using three wires of resistances 1 ohm, 2ohm and 3 ohm, number of different possible values of resistances are:

• A. 6
• B. 4
• C. 10
• D. 8

Answer 1

The correct option is D 8

We can put all of them in series or in parallel. So this 2 different resistance. Now take two of them at a time and place them in parallel and put them in series with the remaining one like the figure. This sort of permutation can be done in 6 ways. So the total no of different resistance can be made is $2+6=8$.