If L denotes `xx`, M denotes `-:`, P denotes + and Q denotes`-`, then 16 P 24 M 8 Q6 M2 L 3 = ?

Options

A. `13/6`
B. `-1/6`
C. `14(1)/(2)`
D. 10

Explanation

To solve the expression \( 16 P 24 M 8 Q 6 M 2 L 3 \) using the given operations, we will follow these steps:

1. **Identify the operations**:
- \( P \) denotes addition \( (+) \)
- \( M \) denotes division \( (/) \)
- \( Q \) denotes subtraction \( (-) \)
- \( L \) denotes multiplication \( (\times) \)

Therefore, the expression can be rewritten as:
\[ 16 + 24 / 8 - 6 / 2 \times 3 \]

2. **Apply the BODMAS/BIDMAS rule**:
According to the BODMAS/BIDMAS rule, we perform operations in the following order: Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

3. **Perform the divisions first**:
- Calculate \( 24 / 8 \):
\[ 24 / 8 = 3 \]
- Calculate \( 6 / 2 \):
\[ 6 / 2 = 3 \]

Now, the expression becomes:
\[ 16 + 3 - 3 \times 3 \]

4. **Perform the multiplication**:
- Calculate \( 3 \times 3 \):
\[ 3 \times 3 = 9 \]

Now, the expression is:
\[ 16 + 3 - 9 \]

5. **Perform the addition and subtraction from left to right**:
- First, perform the addition:
\[ 16 + 3 = 19 \]
- Then, perform the subtraction:
\[ 19 - 9 = 10 \]

6. **Final result**:
The final result of the expression \( 16 P 24 M 8 Q 6 M 2 L 3 \) is:
\[ \boxed{10} \]