Question

the population of the us is 300 million. every person has written somewhere between 0 and 10 million lines of code. what is the maximum number of people that we can say must have written the same number of lines of code?

Answer 1

There can be at most 10,000,000 people who have written the same number of lines of code.

The total number of lines of code written by all people is 0 to 10,000,000,000,000 lines of code (300,000,000 people * 0 to 10,000,000 lines of code per person).

Since the number of lines of code written by each person is an integer, the number of lines of code written by all people must also be an integer.

The largest possible integer that is less than or equal to 10,000,000,000,000 is 10,000,000,000.

Therefore, there can be at most 10,000,000 people who have written the same number of lines of code.

Explanation: