MathDB

2021 Combo Div 1 P7

Source:

March 2, 2021

combinatorics

Problem Statement

How many non-decreasing tuples of integers

(a_1, a_2, \dots, a_{16})

are there such that

0 \leq a_i \leq 16

for all

i

, and the sum of all

a_i

is even?
Proposed by Nancy Kuang