To find the unit digit in the product of the given numbers, we only need to consider the unit digits of each number.
Let's find the unit digits of the given numbers:
- The unit digit of 784 is 4.
- The unit digit of 618 is 8.
- The unit digit of 917 is 7.
- The unit digit of 463 is 3.
Now, let's find the unit digit of the product (784 x 618 x 917 x 463):
Unit digit = (4 x 8 x 7 x 3) = 672
The unit digit of the product is 2. Therefore, the correct answer is A) 2.