Doubt in expression of sample space S

[jman...@gmail.com]

Hi,

I have a question about what is happening in this video at 00:11:18 -

http://www.youtube.com/watch?v=t6HO-QG-HhE#t=678s.

In the lecture video, sir has used S = {max{0,m-(N-r)}, ....... , min{m,r}}. The elements of S is the number of successes which is minimum 0 and atmost m. So, S' = {0,1,2,3, .... , m}. The definition of S used by sir gives the same set, S', if we evaluate. But I don't understand what is the motive behind using S not directly S', because S is somewhat complex than S', when we see. What is the use of S instead of S'? Is there any other use?.

Thanks!

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