The number of differeny 3-digits numbers that can be formed from the digits 1,2,3,7,8,9 without reusing the digits is
To form a 3-digit number using the digits 1, 2, 3, 7, 8, 9 without reusing any digits, we have a few options:
1. The first digit can be any of the 6 digits: 1, 2, 3, 7, 8, 9.
2. The second digit can be any of the remaining 5 digits.
3. The third digit can be any of the remaining 4 digits.
Using the fundamental counting principle, we can multiply the number of possibilities for each step:
6 choices for the first digit × 5 choices for the second digit × 4 choices for the third digit = 6 × 5 × 4 = 120.
Therefore, there are 120 different 3-digit numbers that can be formed using the digits 1, 2, 3, 7, 8, and 9 without reusing any digits.