How many three-digit numbers can you create using only the digits 6, 7, 8, and 9 if each digit cannot be repeated in any three-digit number (all digits must be different) ?

24

Step-by-step explanation:

We are solving for variation (without repitition)

n = 4 digits (6,7,8,9)

p = 3 digits no.

variation = nfactorial / (n-p) factorial.

4x3x2x1 / (4-3) factorial = 24/1

= 24.

there are 24 3-digit number you can select from 6,7,8,9 without having a recurring number.