To find out how many zeroes are in the product of \(40 \times 107\), we can first compute the product:
\[ 40 \times 107 = 4280 \]
Now, to determine how many zeros are in \(4280\), we can look at the number by breaking it down:
The number \(4280\) ends with one zero. Thus, there is 1 zero in the product \(40 \times 107\).
Since none of the provided responses match, it seems either the question needed a clarification regarding the interpretation of "how many zeroes," or the provided responses might contain an error or be unrelated to the current calculation.
In summary, the answer based on the calculation is 1 zero in the product \(4280\).