Question How many different three-digit numbers can be written using digits from the set 1, 2, 3, 4, 5 without any repeating digits?

60 different three-digit numbers can be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits. What are numbers? A number is a mathematical object that can be used to count, measure, and label things. The natural numbers 1, 2, 3, 4, and so on are the original examples. Number words can be used to represent numbers in language. To find how many different three-digit numbers can be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits: 1st Method: The 1st digit can be written in 5 ways The 2nd digit can be written in 4 ways (since 1 already gone and no repetition) The 3rd digit can be written in 3 ways (since 2 already gone and no repetition) Total number of ways = 5x4x3 = 60 ways 2nd Method: Permutation (since ORDER MATTERS) of 3 digits chosen among 5 (with no repetition) ⁵P₃ = (5!)/(5-3)! = (5!)/(2!) = 60 ways Therefore, 60 different three-digit numbers can be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits. Know more about numbers here: https://brainly.com/question/148825 #SPJ4 Reply

three-digitnumberscan be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits.## What are numbers?

numberis amathematical objectthat can be used to count, measure, and label things.natural numbers1, 2, 3, 4, and so on are the original examples.three-digit numberscan be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits:repetition)Permutation(since ORDER MATTERS) of 3 digits chosen among 5 (with no repetition)three-digitnumberscan be written using digits from the set 1, 2, 3, 4, and 5 without any repeating digits.numbershere:https://brainly.com/question/148825