(a) Given n distinct objects, in how many ways can we select r of these objects so...

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(a) Given n distinct objects, in how many ways can we select r of these objects so that each selection includes some particular m of the n objects? (Here m ‰¤ r ‰¤ n.)
(b) Using the Principle of Inclusion and Exclusion, prove that for m ‰¤ r ‰¤ n,
(a) Given n distinct objects, in how many ways can
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