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2012
Mathematics
JAMB
Evaluate
n+1
C
n-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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