Solution to How many distinguishable permutations with repeated elements are there for the number 20366650? - Sikademy
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How many distinguishable permutations with repeated elements are there for the number 20366650?

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The number of permutations of n elements taken n at a time, with r_1 elements of one kind, r_2 elements of another kind, and so on, is


\dfrac{n!}{r_1!r_2!...r_k!}

20366650

There are n=8 digits. The digit repeats r_1=2 times, the digit 6 repeats r_2=3 times.

Then

n=8, r_1=2, r_2=3


\dfrac{8!}{2!3!}=\dfrac{8(7)(6)(5)(4)}{1(2)(3)}=1120

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Question ID: mtid-5-stid-8-sqid-2919-qpid-1618