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number of integers whose sum is a multiple of $7

Source: Netherlands - Dutch NMO 1977 p3

January 28, 2023
number theorydividesdivisiblemultiple

Problem Statement

From each set {a1,a2,...,a7}⊂Z \{a_1,a_2,...,a_7\} \subset Z one can choose a number of elements whose sum is a multiple of 77.
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