How many different orders could you place, Other Subject

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How many different orders could you place

Problem: Help with Combinatorial proof:

You are shopping for hats, and go into a hat shop which has arbitrarily large quantities of identical stetsons, beanies, and fedoras, but only 5 identical pillbox hats. If you wish to buy n hats, and require at least 4 stetsons, how many different orders could you place?

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