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  • How many distinct four-digit numbers can be formed using the digits 7, 8, 9, and 0 by swapping the positions of any two digits?  <div class='qna-option

How many distinct four-digit numbers can be formed using the digits 7, 8, 9, and 0 by swapping the positions of any two digits?

 

Option: 1

25


Option: 2

60


Option: 3

32


Option: 4

24


Answers (1)

best_answer

To find the number of distinct four-digit numbers that can be formed using the digits 7,8,9, and 0 by swapping the positions of any two digits, we need to consider the different arrangements that result from swapping the positions of any two digits.

Since there are four digits, there are a total of 4 choices for the first digit. After choosing the first digit, there are 3 remaining digits to choose from for the second digit. Similarly, there are 2 choices for the third digit and 1 choice for the fourth digit.

Therefore, the total number of distinct four-digit numbers that can be formed is 4 \times 3 \times 2 \times 1=24.

It is important to note that swapping the positions of two digits does not affect the number of distinct numbers that can be formed in this case, as all four digits are distinct.

Posted by

jitender.kumar

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