MathDB

4

Part of 2021 Moldova EGMO TST

Problems(1)

On a board there are $4$ positive integers $a, b, c$ and $d$.

Source: Moldova EGMO TST 2021

2/4/2023
On a board there are 44 positive integers a,b,ca, b, c and dd. Dan chooses three of them and writes their product on a paper. Then he substracts 11 from the other number. He does this until 00 appears on the board. What are the possible values of the sum of the numbers written on the paper?
combinatorics