(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 curren r curren n ) (b) Using the Principle of Inclusion and Exclusion, prove that for m curren r curren n, n m n r

Question: (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

(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,

n-m n-r

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