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  • How many different 7-digit numbers can be formed using the digits 0, 1, 1, 2, 3, 3, and 4?  Option: 1 420<div class='qna

How many different 7-digit numbers can be formed using the digits 0, 1, 1, 2, 3, 3, and 4?

 

Option: 1

420


Option: 2

210


Option: 3

105


Option: 4

70


Answers (1)

In this case, we have repetition of digits. To find the number of different 7-digit numbers, we need to consider the different arrangements of the digits. The digit 1 appears twice, and the digit 3 appears twice. Therefore, the total number of different arrangements is given by  \frac{7 !}{2 ! \times 2 !}=210

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Ramraj Saini

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