If n is a positive integer such that n! / (n - 2)! = 342, find n.
Choose the correct choice:
A) 13 B) 17 C) 15 D) 11 E) 19
Let expand n as follows   n! = n*(n - 1)*(n - 2)!   n! / (n - 2)! = n*(n - 1)*(n - 2)! = n(n - 1) = 342   Solve the equation n(n - 1) = 342 and select the positive integer solution which is n = 19   correct answer 19
<result>E</result>
If n is a positive integer such that n! / (n - 2)! = 342, find n.