Q56,Paper 3,J1 3. The number of distinct binary images which can be generated from a given binary image of right M ×N are

(A) M + N

(B) M ×N

(C) 2^{M + N}

(D) 2^MN

Answer D.

Image size is mn pixels.

Binary image takes 1 bit  value(0/1).

I pixel can be adjusted in  two ways.(2¹) like(0,1)

2 pixel can be  adjusted in 4 ways.(2²) like 00,01,10,11

3 pixel can be adjusted in 8 ways.(2³)

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MN pixels  can be adjusted in (2^mn) ways.