SOLUTION: How many 6 - digit numbers can be formed from the digits of 747 457? Solution:

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Question 1192088: How many 6 - digit numbers can be formed from the digits of 747 457?
Solution:
Answer by ikleyn(52777) About Me  (Show Source):
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How many 6-digit numbers can be formed from the digits of 747 457?
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In clear form, this problem asks  


      " how many different distinguishable words of given digits can be formed ? "



There are 6 digits; of them, the digit "7" has multiplicity 3 and digit "4" has multiplicity 2.


THEREFORE, the number of distinguishable arrangements of the given digits is  6%21%2F%283%21%2A2%21%29 = 720%2F%286%2A2%29 = 720%2F12 = 60.


ANSWER.  60 different 6-digit numbers.

Solved.

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To see many other similar  (and different)  solved problems,  look into the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.