Based upon statistical studies, it takes about one-third less time for fans to exit a game as it does for them to enter and find their seats. If the ingress for the stadium is 3,000 fans per hour, what is the egress?

a) 2,000 fans per hour
b) 3,000 fans per hour
O c) 4,500 fans per hour

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18