How many arrangements of 3 digits can be formed from the digits 0 through 9?

Solution:

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. 

We have to find the number of arrangements of 3 digits which can be formed from digits 0 to 9.

As we are considering three digit arrangements and not numbers

We have 10 options 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 for each of the three places in the arrangement

So the number of 3 digit arrangements which can be formed is

n = 10 × 10 × 10

= 1000 

Therefore, in 1000 arrangements 3 digits can be formed from the digits 0 through 9.

How many arrangements of 3 digits can be formed from the digits 0 through 9?

Summary:

In 1000 arrangements 3 digits can be formed from the digits 0 through 9.