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John draws a regular five pointed star in the sand, and at each of the 5 outward-pointing points and 5 inward-pointing points he places one of ten different sea shells. How many ways can he place the shells, if reflections and rotations of an arrangement are considered equivalent?

 

Answer is not 3628800

 Mar 30, 2020
 #1
avatar+626 
+1

Plan:

Treat the star like a circle

 

In a circle counting problem, \(n\) people can be seated in \((n-1)!\) ways.

 

Solve:

\((10-1)!=9!\)

\(\boxed{362880}\)

.
 Mar 30, 2020
 #2
avatar+1948 
+1

AnExtremelyLongName is correct! You can also check out the answer here:

 

https://brainly.com/question/10667617

CalTheGreat  Mar 30, 2020
 #3
avatar+336 
0

I used to do brainly, but I moved here. :)

 Mar 30, 2020
 #4
avatar+626 
0

I used to do AoPS forums, but it's more of chatting than actual problem solving.

AnExtremelyLongName  Mar 30, 2020

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