Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
225 * 25 * 3 * 3 * 6 * 6

​225 * 25 * 3 * 3 * 6 * 6

Concept: interchange mathematical operators and solve as per BODMAS rule.

​$$\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}$$​​

225 * 25 * 3 * 3 * 6 * 6

After interchanging,

225 ÷ 25 × 3 = 3 - 6 + 6

9 × 3 = 3 - 6 + 6

9 × 3 = 3​

27 ≠ 3

​So, its not correct option.

225 * 25 * 3 * 3 * 6 * 6

After interchanging,

225 ÷ 25 × 3 + 3 - 6 = 6

9 × 3 -3 = 6

24 ≠ 6

​So, its not correct option.

225 * 25 * 3 * 3 * 6 * 6

After interchanging,

225 ÷ 25 = 3 × 3 - 6 + 6

9 = 9 - 6 + 6

So, its correct option.

225 * 25 * 3 * 3 * 6 * 6

After interchanging,

225 ÷ 25 × 3 - 3 + 6 = 6

9×3 - 3 + 6 = 6

30 ≠ 6

​So, its not correct option.​

Thus, option C is correct.