MathDB

17

Part of 2019 India PRMO

Problems(2)

Combinatorics / Multinomial

Source:

8/11/2019
How many ordered triplets (a,b,c)(a, b, c) of positive integers such that 30a+50b+70c≤34330a + 50b + 70c \leq 343.
combinatoricsmultinomials
More Squares

Source: PRMO Leg 2 P17

8/25/2019
Let a,b,ca,b,c be distinct positive integers such that b+c−ab+c-a, c+a−bc+a-b and a+b−ca+b-c are all perfect squares. What is the largest possible value of a+b+ca+b+c smaller than 100100 ?
algebraPRMO