Question 1 Report
Evaluate n+1Cn-2 If n =15
Answer Details
n+1(n−2)(n+1)! n + 1 ( n − 2 ) ( n + 1 ) ! (n+1)+(n−2)!(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 + 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 ) ( n − 2 ) ! 3 ! ( n − 2 ) ! (n+1)(n)(n−1)3! ( n + 1 ) ( n ) ( n − 1 ) 3 ! Since n = 15 (15+1)(15)(15−1)3! ( 15 + 1 ) ( 15 ) ( 15 − 1 ) 3 ! 16×15×143×2×1 16 × 15 × 14 3 × 2 × 1 = 560
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