Rationale
A) 0 is the correct answer.
To solve the expression, follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
A) 0
First, calculate the value inside the parentheses: 1 - 3 equals -2. Then, multiply this result by 2 to get -4. Add 4 to -4, which equals 0. Finally, multiply 6 by 0 to get the correct answer: 0.
B) 20
This result would be obtained if the order of operations was not correctly followed. For instance, if 2 were multiplied by 1 before subtracting 3, and the resulting 2 was added to 4 to get 6. Multiplying 6 by this incorrect result of 6 would yield 20, which is not the correct answer.
C) 24
This result would be obtained if the operations inside the parentheses were calculated incorrectly. For example, if 1 minus 3 was incorrectly calculated as 2, then multiplying by 2 to get 4 and adding 4 would yield 8. Multiplying 6 by this incorrect result of 8 would yield 24, which is not the correct answer.
D) 48
This result would be obtained if the operations were carried out without following the order of operations. For example, if 2 were added to 4 to get 6, then 1 minus 3 was incorrectly calculated as 2, and then 6 multiplied by 2 to get 12. Finally, if 6 was multiplied by this incorrect result of 12, the answer would be 48, which is not the correct answer.
Conclusion
To solve mathematical expressions, it's important to follow the order of operations (PEMDAS/BODMAS). In this case, the correct calculation within the parentheses results in -2, which multiplies to -4 when combined with 2. Adding this to 4 gives 0, and multiplying by 6 keeps the result at 0. Any other calculation method that doesn't respect the order of operations will yield an incorrect result.