Question

write all possible 3 digit number using the digits 8, 0, 9 when repetition of digits is not allowed​

Answer 1

Answer:

Well, if it's a three-digit number with all three digits significant, then 0 cannot be the left-end digit. So only 8 or 9 can be the first digit. This means that there are 2 ways to choose the leftmost digit.

There are 2 choices for the middle digit because 0 and one of the digits 8 and 9 can be used.

Because repetition of digits is not allowed, there is 1 way to put a digit in the right-end position.

Answer is 2×2×1=4 non-repeating three-digit numbers can be made with 0 , 8 , and 9 .