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If C(2n, 3) : C(n, 2) = 12 : 1 find n.

(a) 2 

(b) 5 

(c) 4 

(d) 3

1 Answer

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(b) 5

Given 2nC3 : nC2 = 12 : 1

⇒ 8n – 4 = 36 ⇒ 8n = 40 ⇒ n = 5.

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