Let's evaluate each statement one by one.
Statement #1:
\( 3 \cdot 20 = 4(6 + 9) \)
Calculating the left side:
\( 3 \cdot 20 = 60 \)
Calculating the right side:
\( 4(6 + 9) = 4 \cdot 15 = 60 \)
So, Statement #1 is true.
Statement #2:
\( 4 \times 12 = 6 \times (8 \times 2) \) and \( 12 + 6 \cdot /64 = 2 \cdot 4 \cdot 8 \)
Calculating the first part:
\( 4 \times 12 = 48 \)
\( 6 \times (8 \times 2) = 6 \times 16 = 96 \)
So the first part of Statement #2 is false.
Now the second part, \( 12 + 6 \cdot /64 = 2 \cdot 4 \cdot 8 \) is unclear due to the notation.
Assuming it was intended to be \( 12 + \frac{6}{64} \) and \( 2 \cdot 4 \cdot 8 = 64 \):
Calculating left side:
\( 12 + \frac{6}{64} = 12 + 0.09375 = 12.09375 \)
Calculating right side:
\( 64 \)
So the second part is also false.
Thus, Statement #2 is false.
Statement #3:
\( 4 \cdot 18 - 4 \cdot 6 = 42 + 4 \cdot 8 \)
Calculating the left side:
\( 4 \cdot 18 - 4 \cdot 6 = 72 - 24 = 48 \)
Calculating the right side:
\( 42 + 4 \cdot 8 = 42 + 32 = 74 \)
So, Statement #3 is false.
Combining results:
- Statement #1 is true.
- Statement #2 is false.
- Statement #3 is false.
Therefore, the correct choice is:
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