1000
99999
210 of them.
192 ways
500
The number of different ways to arrange the digits 0, 1, 2, 3, and 4 is calculated by finding the factorial of the number of digits. Since there are 5 digits, the total arrangements are 5! (5 factorial), which equals 120. However, if leading zeros are not allowed, we must subtract arrangements that begin with 0. There are 4! arrangements for the remaining digits (1, 2, 3, 4), which equals 24. Thus, the valid arrangements without leading zeros total 120 - 24 = 96.
6*5*4*3*2*1=720
36
10,000
If the digits can be used more than once, then 900. If not, then 648.
99999
210 of them.
192 ways
24
500
The number of different ways to arrange the digits 0, 1, 2, 3, and 4 is calculated by finding the factorial of the number of digits. Since there are 5 digits, the total arrangements are 5! (5 factorial), which equals 120. However, if leading zeros are not allowed, we must subtract arrangements that begin with 0. There are 4! arrangements for the remaining digits (1, 2, 3, 4), which equals 24. Thus, the valid arrangements without leading zeros total 120 - 24 = 96.
744 digits.
5040 different 4 digit numbers can be formed with the digits 123456789. This is assuming that no digits are repeated with each combination.