Question: 2.6 Problems 37 where m n N a + m. Hence, show that a N a 1 m 1

2.6 Problems 37 where m ≤ n ≤ N − a + m. Hence, show that a

N



a − 1 m − 1



(N − a)!

(N − 1)!

N−Xa+m n=m

(n − 1)! (N − n)!

(n − m)! (N − a + m − n)! = 1, and that the expectation of n is N + 1 a + 1 m. (Oxford 1972M)

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