Combinatorics problem-Slot method

[dddanny2006]

Source-Veritas

How many Lunch combination meals(If you must choose exactly one of each :burger,side and drink) are possible at a fast food restaurant if you have 3 different burgers to choose from,three different drinks to choose from,and two different side to choose from?

The right answer is 18

This is my method of solving it-

3*3*2 ------------------Order doesn't matter,divide.
3!

Answer is 3.

Why am I wrong?We can have sides,drink,burger or burger,drink and sides.So order doesnt matter,but in the real answer they dont divide it by 3!.

Please explain.

[RonPurewal]

Hi,
As I mentioned here --
post94482.html#p94482
-- we can't continue to answer posts with titles that don't conform to the forum rules.

Please read the forum rules -- first thread in every folder -- and then re-post your question with an appropriate title (i.e., based on the first few words of the question).

Thanks.