Question

Three resistance coils have same resistance. How many possible combinations can be obtained by connecting all the above coils in any manner:-

• A. $3$
• B. $7$
• C. $6$
• D. $5$

Answer 1

The correct option is C $6$

Since, we have $3$ resistance coils, $3$ of the resistance coils can be easily connected in series to give $3$ different arrangements. $1$ will be $T$ shaped arrangement, $1$ will be the triangular one and $1$ with $2$ parallel with $1$ in other combinations.

Thus, we have $6$ total arrangements.