Evaluate n+1Cn-2 If n =15

Assessment: JAMB UTME - Mathematics - 2012 Subject: General Mathematics

Question 1 Report

Evaluate n+1Cn-2 If n =15
Answer Details
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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