SOLUTION: Find the number of distinguishable permutations of the digits of the {{{highlight(cross(numbers))}}} <U>number</U> 348838. Show your solution.

Algebra ->  Permutations -> SOLUTION: Find the number of distinguishable permutations of the digits of the {{{highlight(cross(numbers))}}} <U>number</U> 348838. Show your solution.      Log On


   



Question 1193363: Find the number of distinguishable permutations of the digits of the highlight%28cross%28numbers%29%29 number 348838.
Show your solution.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

In the given number 348838, there are 6 digits;


of them, digit "3" has multiplicity 2 and digit "8" has multiplicity 3.


Therefore, the number of distinguishable permutations is  6%21%2F%282%21%2A3%21%29 = 720%2F%282%2A6%29 = 60.    ANSWER

Solved.


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NOTICE:   In this problem,  there is only one given number;

therefore,  grammatically and logically correct is to use single  " number "  instead of plural  " numbers ".