`10-[9-{8-(7-6)}]-5`is

Options

A. (-5)
B. 1
C. 3
D. 9

Answer

To simplify the expression \(10 - [9 - \{8 - (7 - 6)\}] - 5\), we will follow the order of operations, which is parentheses first, then brackets, and finally, we will perform the subtraction.

### Step-by-Step Solution:

1. **Start with the innermost parentheses**:
\[ 7 - 6 = 1 \]
So, the expression now becomes:
\[ 10 - [9 - \{8 - 1\}] - 5 \]

2. **Next, simplify the expression inside the curly brackets**:
\[ 8 - 1 = 7 \]
Now the expression is:
\[ 10 - [9 - 7] - 5 \]

3. **Now, simplify the expression inside the square brackets**:
\[ 9 - 7 = 2 \]
The expression now looks like:
\[ 10 - 2 - 5 \]

4. **Next, perform the subtraction from left to right**:
\[ 10 - 2 = 8 \]
Now we have:
\[ 8 - 5 \]

5. **Finally, perform the last subtraction**:
\[ 8 - 5 = 3 \]

### Final Answer:
The simplified result of the expression \(10 - [9 - \{8 - (7 - 6)\}] - 5\) is \(3\).