SOLUTION: Helo I'm wondering if anyone can explain the formula to calculate this question. olympic flag bears five rings How many ways are there of arranging the five rings? The book say

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Question 955436: Helo I'm wondering if anyone can explain the formula to calculate this question.
olympic flag bears five rings
How many ways are there of arranging the five rings?
The book says 120 as the answer but gives no formula to calculate the answer so inrespect I have learnt nothing.
But I want to learn could anyone plz help.
Found 2 solutions by macston, MathLover1:
Answer by macston(5194) (Show Source):
You can put this solution on YOUR website!
For the first ring, you can choose any of five, so there are five choices.
For the second four remaining choices, so 4 choices for each of the first five=5*4, then 3 for each of those: 5*4*3, and 2 for each of those, total number=5*4*3*2=120 ways to chose the five rings.
To learn more, you might look up combinations and permutations.

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
The first space can be filled by any one of the rings.
The second space can be filled by any of the remaining rings.
The third space can be filled by any of the rings.
The fourth space can be filled by any of the rings.
And the final space must be filled by the one remaining ring.
The total number of possible arrangements is therefore:
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