passpadi

2012

Mathematics

JAMB

Evaluate n+1Cn-2 If n =15

A.

3630

B.

3360

C.

1120

D.

560

Correct Answer: 560

Explanation

n+1(n−2)/(n+1)! (n+1)+(n−2)!(n−2)!/(n+1)! (n+1)(n+1−1)(n+1−2)(n+1−3)/!3!(n−2)! (n+1)(n)(n−1)(n−2)/!3!(n−2)! (n+1)(n)(n−1/)3! Since n = 15 (15+1)(15)(15−1)/3! 16×15×14/3×2×1 = 560

n+1(n−2)/(n+1)! (n+1)+(n−2)!(n−2)!/(n+1)! (n+1)(n+1−1)(n+1−2)(n+1−3)/!3!(n−2)! (n+1)(n)(n−1)(n−2)/!3!(n−2)! (n+1)(n)(n−1/)3! Since n = 15 (15+1)(15)(15−1)/3! 16×15×14/3×2×1 = 560
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