How many images can be produced by all permutations of 24-bit 640x480 JPEG? Is this is the maximum number of images on 24 bit 640x480 frame and we can not have more images?
2 choices per bit
640 times 480 pixels
^ is exponent
~~ edit to reply to comments~~
Yes, this is the maximum number of images.
Yes, compression would decrease this number.
More basic example, to clarify:
Let's calculate how many images can be 1x2 using 2 bit color.
In 2 bit color, each pixel must be one of 4 colors. In my imaginary world, here, the choices are Black, White, Green and Yellow: BWGY
So, for pixel 1,1, there are 4 choices. And for pixel 1,2, there are four choices. So here are all the possible pictures:
BB BW BG BY WB WW WG WY GB GW GG GY YB YW YG YY
You can calculate this by (number of choices) raised to the (number of pixels), so in this case 4^2 = 16.
Let's say we wanted to increase the width of this picture (by making it a 1x3 image. ooh: widescreen!). For each of the original 16 pictures, you can make 4 new pictures, one for each of the color choices. So now, you have 64 pictures. Which still fits our formula: (choices)^(pixels) 4^3 = 64.
Another note: if you are dealing with x bits, the number of color choices will always be 2^x