Question

Given three unequal resistors, how many different combinations of these resistances can be made?

• A. $6$
• B. $5$
• C. $8$
• D. $3$

Answer 1

The correct option is C $8$

Let $R_1{R}_{2}and{R}_3$ be three different Resistance

1- all three in series

2-all three in parallel

3- $R_{1}and{R}_2$ in series and parallel with $R_3$

4-$R_{1}and{R}_3$ in series and parallel with $R_2$

5-$R_{2}and{R}_3$ in series and parallel with $R_1$

6- $R_{1}and{R}_2$ in parallel and series with $R_3$

7-$R_{1}and{R}_3$ in parallel and series with $R_2$

8-$R_{2}and{R}_3$ in V with $R_1$