The number of positive integers with the property that they can be expressed as the sum of the cubes of positive integers in two different ways is
Explanation for the correct answer:
Find the required number of positive integers.
Assume that, is a positive integer with such that it can be expressed as the sum of the cubes of positive integers in two different ways.
Therefore, .
Since any number can be expressed as the sum of the cubes of positive integers in two different ways.
Since there are infinitely many possible values of .
Therefore, The number of positive integers with the property that they can be expressed as the sum of the cubes of positive integers in two different ways is infinite.
Hence, option is the correct answer.