Question

Ava said "There are only three hundred 3- diget numbers" is her statement true or faulse

Answer 1

Answer: False, there are actually 900 different three-digit numbers

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Explanation:

The three digit numbers span from 100 to 999, including both endpoints.

This means we have 999-100+1 = 900 different three-digit numbers.

You subtract the endpoints (large-small) and add 1 to include the lower endpoint.

Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.