Looking at the question, we can see we have 5 different numbers that can go in any order.
5 * 4 * 3
The above is basically saying there are 5 different numbers that can be multiplied by 4 other numbers. Those 2 can be multiplied by 3 different ones, leaving us with a 3 digit positive integer.
5 * 4* 3 = 60
There are a total of 60 three digit even positive integers and this can be determined by using the given data.
Given :
Digits -- 1, 2, 4, 7, and 8
The following steps can be used in order to determine the total number of even 3-digit positive integers that can be written using the digits 1,2,4,7, and 8:
Step 1 - Remember according to the data, there are a total of 5 digits that is 1,2,4,7, and 8.
Step 2 - Also remember according to the given data that we have to determine the even three digit positive integers.
Step 3 - So, from the above steps it can be concluded that the total number of even three digit numbers is given by:
[tex]=5\times 4 \times 3[/tex]
Step 4 - Simplify the above expression.
= 60
So, there are a total of 60 three digit even positive integers.
For more information, refer to the link given below:
https://brainly.com/question/15276410
