# How many three-digit numbers with distinct digits can be formed using the digits 1, 2, 3, 5, 8, and 9? What is the probability that both the first digit and the last digit of the three digit number are even numbers?

##### 1 Answer

We can make

#### Explanation:

Here I am assuming that digits can be used once only.

When we form such three-digit numbers with distinct digits using the digits

Hence we have to find number of

How haw many of them will have first digit as even, we have two choices

Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is