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MATHEMATICS

JAMB 2006 - Question 9

Mathematics 2006 JAMB Past Questions - Question 9: For what value of n is º¹C‚ƒ = 4 (C‚ƒ)?

Choose the most appropriate option for the gap .

For what value of n is º¹C‚ƒ = 4 (C‚ƒ)?

A: 6

B: 5

C: 4

D: 3

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Correct Answer

Explanation

º¹Câ‚ƒ = (n+1)!/(n+1) -3)!3! = (n+1) (n) (n-1)(n-2)!/(n-2)! 3X2= n(n+1)(n-1) /6 4(Câ‚ƒ) = n(n-1)(n-2)/3 , n(n+1) (n-1)/6 = 2n(n-1) (n-2)/3 → n+1/6 = 2(n-2)/3→ 3n +3 = 12n – 24 → 27-9n→n = 3