How many odd positive integers less than 300 can be written using the numbers 2,4,5, and 8

4!

Step-by-step explanation:

Given four numbers 2, 4, 6, 8.

The numbers can be arranged to form an odd number which is less than 300.

That means we have three spaces to fill this. We can try out the different combination of the numbers.

Note that the numbers should be odd. So, in the unit digit should only be 5. 2, 4, 8 would make the number even.

Also, the first digit can only be two because other numbers would make it bigger than 300.

So, 2 ___ 5 is fixed. The middle digit could be any of the four.

So, 225; 245; 255 and 285 all satisfy the conditions.

So, four numbers can be formed.