Find the number of distinguishable permutation of the digits of the number 911 912 271
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the answer of this question is 912
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Step-by-step explanation:
Given Find the number of distinguishable permutation of the digits of the number 911 912 271
- So we need to find the distinguishable permutations of the digits of the number 911912271
- Let k be the number of distinguishable permutations and the given number is 911912271.
- In this we have the numbers
- there are two 9’s, one 4, two 2’s and one seven. So we get
- k = n! / p! q! r!
- = 9! / 2! 4! 2! 1!
- = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 2 x 4 x 3 x 2 x 2
- = 9 x 7 x 5 x 4 x 3 x 1
- = 3780
Reference link will be
https://brainly.ph/question/476237
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