How many 10 digit numbers can be formed using only the digits 2 and 5?

well, for each digit position you would have 2 choices

Number of such numbers containing only 2 and 5
= 2^10

To find the number of 10-digit numbers that can be formed using only the digits 2 and 5, we need to consider the possible combinations.

Since there are only two choices (2 and 5) for each digit and we are considering 10 digits, we can calculate the total number of combinations by raising 2 to the power of 10.

Mathematically, it can be represented as:

Total number of combinations = 2^10 = 1,024

So, there are 1,024 10-digit numbers that can be formed using only the digits 2 and 5.