Question 1142355: How many permutations of 5 questions each with 3 possible answers?
Ex:
Q1 - Answer can be R, Y, G
Q2 - Answer can be R, Y, G
Q3 - Answer can be R, Y, G
Q4 - Answer can be R, Y, G
Q5 - Answer can be R, Y, G
I need to know how many permutations of possible answers:
Ex
R, R, R, R, R,
R, R, R, R, Y
R, R, R, Y, Y
R, R, Y, Y, Y
R, Y, Y, Y, Y
R, R, R, R, G
R, R, R, G, G
etc.....
Answer by ikleyn(52817)   (Show Source):
You can put this solution on YOUR website! .
The problem in the post is formulated INCORRECTLY.
The correct formulation is THIS :
If the test consists of 5 questions, each of which has 3 possible answers,
how many different answers to the test questions are possible, in all ?
The answer is  = 243,
because 3 (three) independent answers to each of 5 questions are possible.
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A side note : this problem is NEITHER about permutations NOR about combinations.
It is about other objects of the Combinatoric theory.
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