Answer:
To find out how many stamps can be pasted on the sheet of paper, we need to calculate the area of both the stamp and the sheet of paper.
The area of one stamp is \(2 \, \text{cm} \times 1.5 \, \text{cm} = 3 \, \text{cm}^2\).
The area of the sheet of paper is \(12 \, \text{cm} \times 600 \, \text{cm} = 7200 \, \text{cm}^2\).
Now, we divide the total area of the sheet of paper by the area of one stamp to find out how many stamps can fit:
\[
\frac{7200 \, \text{cm}^2}{3 \, \text{cm}^2} = 2400
\]
So, 2400 stamps can be pasted on the sheet of paper.
Since this is not one of the given options, let's double-check our calculations.
If the stamps are pasted in a grid pattern, we need to consider the dimensions of the stamps and the sheet of paper to see how many stamps can fit in each direction.
In the lengthwise direction (12 cm), we can fit \(12 \, \text{cm} \div 2 \, \text{cm} = 6\) stamps.
In the widthwise direction (600 cm), we can fit \(600 \, \text{cm} \div 1.5 \, \text{cm} = 400\) stamps.
The total number of stamps that can be pasted on the sheet of paper is \(6 \times 400 = 2400\).
It seems there was a calculation error in my previous response. The correct answer is not listed among the options given.
