SOLUTION: Find the numbers of distinguishable permutations of the number 348 838?

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Question 1176492: Find the numbers of distinguishable permutations of the number 348 838?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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A TWIN problem was just solved, answered and explained half an hour ago under this link

https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1176493.html

https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1176493.html


Consider it as your TEMPLATE and solve the current problem IN THE SAME WAY.

                    E N J O Y (!)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

n!/(n[1]!n[2]!....n[k]!)
where n is the total number of objects and are the number of indistinguishable objects.
There are 3 8's, 2 3's and 1 4:
total n=6 numbers
6%21%2F%283%212%211%21%29
=%286%2A5%2A4%2A3%2A2%29%2F%283%2A2%2A2%2A1%29
=60
There are 60 distinguishable permutations of the digits of the number 348838.