The number of distinct binary images which can be generated from a given binary image of right \(M \times N\) are
UGC NET - 2013,
Answer: D
The number of distinct binary images of size \(M \times N\) is \(2^{MN}\), which is option (D). There are \(M \times N\) pixels and each can take either of two values, so there are \(2 \times 2 \times \cdots\) (MN times) possible images.
\(M + N\) and \(M \times N\) count the rows and columns or the pixels and not the images, and \(2^{M + N}\) would be the answer if only the rows and columns could be chosen independently.
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