UGC NET CSE | June 2013 | Part 3 | Question: 56

Question

The number of distinct binary images which can be generated from a given binary image of right M $\times$ N are

• A. M+N
• B. M $\times$ N
• C. 2$^{M+N}$
• D. 2$^{MN}$

Answer 1

ans :D

I assume this question asks to map an M x N image to binary gray scale image.

• We can think like we have to map MxN image (set of MN points) to binary space(2 points -0,1)
• We know between set A (having a elements) and set B (having b elements), there are b ^a  distinct functions that can be formed.
• In our problem, we can form 2 ^MN functions. 
• each function will be distinct images

Hence 2 ^MN distinct binary images can be made