Saturday, 17 August 2013

Combinatorics question

Combinatorics question

A person can feel the four basic flavors: sour, sweet, salty, bitter. Any
different flavor is Combination of some of the flavors mentioned above.

How much different falvors we have in total?
How much flavors we have that are combination of 3 basic flavors?

if each flavor is combination of the others so we have $4$ basic flavors
so its like $n^{n-1}$?
what about the second? I would like to get some advice how to do that
Thanks!

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