Question

How many different three-digit numbers can be written using digits from the set 5, 6, 7, 8, 9 without any repeating digits?

Answer 1

567
598
578
596
597
Keep doing this and you will get your answer. It is could trial and error.

Answer 2

It can be written 60 different three digit numbers.

Explanation:

For, calculate how many different three digit numbers can be written, we can use the rule of multiplication as:

5 * 4 * 3 = 60

1st digit 2nd digit 3rd digit

Taking into account that there is no repeating digits, we have 5 options for the first digits, this options are the number 5, 6, 7, 8 or 9. Then, we have 4 options for the second digit and then we have 3 options for the third digit.

So, there are 60 different three digit numbers that we can create with the set 5, 6, 7, 8, 9 without any repeating digits.