4 objects taken 4 at a time is "4!" This is read "4 factorial" and is 1*2*3*4=24
One fourth of them, or 6, of these numbers are going to start with 0, so they have to be removed.
The answer is 18. {4067, 4076, 4607, 4670, 4706, 4760, 6047, 6074, 6407, 6470, 6704, 6740, 7046, 7064, 7406, 7460, 7604, 7640} ■
It could be: 4760 = 1
To form 4-digit numbers using the digits 4, 7, 6, and 0, we must ensure that the first digit is not 0. The valid choices for the first digit are 4, 7, or 6, giving us 3 options. After choosing the first digit, we can arrange the remaining 3 digits in any order, resulting in (3! = 6) arrangements for each choice of the first digit. Thus, the total number of 4-digit numbers is (3 \times 6 = 18).
4067, 4076, 4607, 4670, 4706, 4760, 6047, 6074, 6407, 6470, 6704, 6740, 7046, 7064, 7406, 7460, 7604, 7640.
3 x 4 x 4 x 4 = 192 of them
The least 4-digit number you can make with the digits 4, 7, 6, and 0 is 4067. To form the smallest number, you should start with the smallest non-zero digit, which is 4, followed by the next smallest digits arranged in ascending order.
The least four-digit number you can make from the digits 4, 7, 6, and 0 is 4607. You cannot start with 0, so the smallest non-zero digit (4) is placed first, followed by the smallest remaining digit (0), and then the others in ascending order.
Heres a few: 4760, 47600, 476000000000000.
4760
4760
4760/10 = 476
4760
4760/5280 = .901515