Push Z150 to the Quiet Western Front
Discrete Mathematics
Level
2
If we pick 77 numbers randomly from the set \(\{1,2,3,4,...,150\}\), we are guaranteed to have at least \(k\) pairs of numbers where the difference between each pair is 19. What is the maximum possible value of \(k?\)
Please treat a pair as a combination, not a permutation.
by
Sheikh Asif Imran Shou...