Permutations

there are 33 numbers out of them every second number are divisible by 2
1,(2),3,(4),5,(6)........(32)
taking 2 common from all of them we get
33!=2¹⁶K where k is an integer
33! is divisible by 2¹⁵

now number of 2s the even numbers are divisible by starting from 2
1+2+1+3+1+2+1+4+1+2+1+3+1+2+1+5= 31
the maximum value of n is 31

remember dis...
power of y in x! is [xy]+[xy²]+[xy³] ..........
where [] denotes G.I.F...