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  • How many 5-digit numbers can be formed using the digits 1, 2, 3, 4 and 5, if no digit can be repeated?Option: 1 60<div class='qna-optio

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4 and 5, if no digit can be repeated?

Option: 1

60


Option: 2

120


Option: 3

240


Option: 4

480


Answers (1)

best_answer

To find the number of 5-digit numbers that can be formed using the digits 1, 2, 3, 4, and 5 without repetition, we can use the concept of permutations.
Since no digit can be repeated, for the first digit, we have 5 options (1, 2, 3, 4, or 5). After choosing the first digit, we have 4 options left for the second digit. Similarly, we have 3 options for the third digit, 2 options for the fourth digit, and 1 option for the fifth digit.
Therefore, the total number of 5-digit numbers that can be formed without repetition is calculated as: 5 !=120

Hence, there are 120 different 5-digit numbers that can be formed using the digits 1, 2, 3, 4, and 5, without repeating any digit.

 

 

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