8264
8642
There is no such number. If the four digits are even, the entire number is even, not odd.
5*5*4*4 = 400
0.124
1,024
The greatest 4-digit number with no repeated digits is... 9876
8642 is the greatist number if all the numbers are not the same and even
500
4,624 = 682
There are 5000 such strings.
Assuming that 2356 is a different number to 2365, then: 1st digit can be one of four digits (2356) For each of these 4 first digits, there are 3 of those digits, plus the zero, meaning 4 possible digits for the 2nd digit For each of those first two digits, there is a choice of 3 digits for the 3rd digit For each of those first 3 digits, there is a choice of 2 digits for the 4tj digit. Thus there are 4 x 4 x 3 x 2 = 96 different possible 4 digit numbers that do not stat with 0 FM the digits 02356.
To find the fraction of four-digit natural numbers with an even product of their digits, we first note that a four-digit number ranges from 1000 to 9999, giving us a total of 9000 four-digit numbers. The product of the digits is even if at least one digit is even. The only case where the product is odd is if all four digits are odd. The odd digits are 1, 3, 5, 7, and 9, offering 5 choices for each digit. Thus, the total odd-digit combinations for four-digit numbers is (5^4 = 625). Therefore, the number of four-digit numbers with an even product is (9000 - 625 = 8375). The fraction is then ( \frac{8375}{9000} = \frac{335}{360} ), which simplifies to approximately ( \frac{67}{72} ).