Sorry, i didn't understand your solution.
there could be other methods to solve this, but most simplest --
Q is asking you how many clothes are exactly 5 in #s.
There are 9 different kinds of clothes.
And each of the kind is more than 1.
so if you find the prime factors of 63000
i.e. 3 * 3 * 7 * 2 * 2 *2 *5 * 5 *5 * 1
But the guy has everything greater than 1... so ignoring that, there are
From this 2 kind of garments are 3 each, 1 kind of garment is 7, 3 kind of garments 2 each and 3 kind of garments 5 each.
or you can think that a possibility there are 7 shirt, 2 pants, 2 boxers, 2 jackets, 3 left sock, 3 right sock, 5 left shoe, 5 right shoe and 5 tie. And if you do it backward you have to select one each from the above to form an outfit
so 7C1 * 2C1 * 2C1 * 2C1 * 3C1 * 3C1 * 5C1 * 5C1 * 5C1
and the result is 63,000. which is given as different forms out of outfit that can be formed.
Hope this helps.
so Answer is D.