Answer:
It can be written 60 different three digit numbers.
Step-by-step explanation:
For, calculate how many different three digit numbers can be written, we can use the rule of multiplication as:
<u> 5 </u>* <u> 4 </u> * <u> 3 </u> = 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.