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How many different 8-digit numbers can be obtained by permuting the digits in the number

Chapter 9, Problem 4

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QUESTION:

How many different 8-digit numbers can be obtained by permuting the digits in the number 70,440,704? (Since each number is an 8-digit number, the first digit cannot be 0.)

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QUESTION:

How many different 8-digit numbers can be obtained by permuting the digits in the number 70,440,704? (Since each number is an 8-digit number, the first digit cannot be 0.)

ANSWER:

Step 1 of 2

The given problem can be solved by using permutations with repetitions. The number of distinct permutations is obtained by using the following formula.

Here,  is the total number of elements. , and is the distinct numbers of the set .

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