turkey-yks 2013 Q9

turkey-yks · Other · lys1-math Permutations & Arrangements Factorial and Combinatorial Expression Simplification

$$( n + 2 ) ! - ( n + 1 ) ! - n ! = 2 ^ { 3 } \cdot 3 \cdot 5 ^ { 2 } \cdot 7$$
Given this, what is $n$?
A) 5
B) 6
C) 7
D) 8
E) 9

$$( n + 2 ) ! - ( n + 1 ) ! - n ! = 2 ^ { 3 } \cdot 3 \cdot 5 ^ { 2 } \cdot 7$$

Given this, what is $n$?\\
A) 5\\
B) 6\\
C) 7\\
D) 8\\
E) 9