Pigeonhole Principle Intermediate Problems with Video Solutions

Link to the problem set:

Video solutions to a custom problem set on the Pigeonhole principle including novel and unique problems requiring only high-school mathematics.

[haroonarfan]

The worksheet was very well organised in terms of difficulty, covering many aspects of the pigeon hole principle.

[mahdimansour]

I think there is a mistake in what you were saying in 18th min
The number of possible sums is between 10 and 1000 that's because the least sum is the sum of 10 ones not zeros so the number of total sums is 991