If digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all numbers greater than 10000 is equal to .........
Answer: 96
Solutions · 1
Official solution
Numbers greater than 10000 using these 5 digits without repetition must be 5-digit numbers (using all 5 digits), with the first digit nonzero: 4 choices for first digit, then 4!=24 arrangements of the rest.
\[\text{Total} = 4\times4! = 4\times24 = 96\]