MathDB

15

Part of 2022 Princeton University Math Competition

Problems(1)

2022 PUMaC Team #15

Source:

9/9/2023
Subsets SS of the first 355 positive integers {1,2,3,...,35}\{1, 2, 3, ..., 35\} are called contrived if SS has size 44 and the sum of the squares of the elements of SS is divisible by 77. Find the number of contrived sets.
combinatorics