`5 - [4 - {3 - (3 - 3 - 6)}]` is equal to :

Options

A. 10
B. 6
C. 4
D. 0

Answer

To solve the expression \( 5 - [4 - \{3 - (3 - 3 - 6)\}] \), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Start with the innermost bracket**:
\[ (3 - 3 - 6) \]
- Calculate \( 3 - 3 = 0 \)
- Then, \( 0 - 6 = -6 \)
- So, \( (3 - 3 - 6) = -6 \)

**Hint**: Always start simplifying from the innermost bracket.

2. **Substitute back into the curly bracket**:
\[ 3 - (-6) \]
- This simplifies to \( 3 + 6 = 9 \)
- So, \( \{3 - (3 - 3 - 6)\} = 9 \)

**Hint**: Remember that subtracting a negative number is the same as adding its positive.

3. **Substitute back into the square bracket**:
\[ 4 - 9 \]
- This simplifies to \( 4 - 9 = -5 \)
- So, \( [4 - \{3 - (3 - 3 - 6)\}] = -5 \)

**Hint**: Keep track of the signs when performing subtraction.

4. **Final substitution into the main expression**:
\[ 5 - (-5) \]
- This simplifies to \( 5 + 5 = 10 \)

**Hint**: Again, subtracting a negative number is the same as adding its positive.

### Final Answer:
The expression \( 5 - [4 - \{3 - (3 - 3 - 6)\}] \) is equal to **10**.