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Question

If mC1 = nC2 , then
(a) 2 m = n
(b) 2 m = n (n + 1)
(c) 2 m = n (n − 1)
(d) 2 n = m (m − 1)

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Solution

(c) 2 m = n (n − 1)

mC1 = nC2
m!1! m-1! = n!2! n-2! m m-1!m-1! = n n-1 n-2!2 n-2! 2m = n n-1

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Properties of Inequalities
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