Find the remainder in expression–
`(4851 xx 1869 xx 4871)/(9)`

Options

A. 3
B. 6
C. 9
D. 12

Answer

To find the remainder of the expression \( \frac{4851 \times 1869 \times 4871}{9} \), we can use the property of remainders and the divisibility rule for 9. The rule states that a number is divisible by 9 if the sum of its digits is divisible by 9.

### Step-by-Step Solution:

1. **Calculate the sum of the digits of 4851:**
- Digits: 4, 8, 5, 1
- Sum: \( 4 + 8 + 5 + 1 = 18 \)
- Since \( 18 \div 9 = 2 \) (exactly), the remainder when 4851 is divided by 9 is **0**.

2. **Calculate the sum of the digits of 1869:**
- Digits: 1, 8, 6, 9
- Sum: \( 1 + 8 + 6 + 9 = 24 \)
- Since \( 24 \div 9 = 2 \) remainder \( 6 \), the remainder when 1869 is divided by 9 is **6**.

3. **Calculate the sum of the digits of 4871:**
- Digits: 4, 8, 7, 1
- Sum: \( 4 + 8 + 7 + 1 = 20 \)
- Since \( 20 \div 9 = 2 \) remainder \( 2 \), the remainder when 4871 is divided by 9 is **2**.

4. **Combine the results:**
- Now we find the product of the remainders:
\[ Remainder = (0) \times (6) \times (2) = 0 \]

5. **Final Remainder Calculation:**
- Since one of the numbers (4851) has a remainder of 0 when divided by 9, the entire product \( 4851 \times 1869 \times 4871 \) will also have a remainder of **0** when divided by 9.

### Conclusion:
The remainder of the expression \( \frac{4851 \times 1869 \times 4871}{9} \) is **0**.