Library / /385 of 472

, 1999

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

How many integers can be expressed as a sum of three distinct numbers if chosen from the set $\{4, 7, 10, 13, ..., 46\}$ ?

(A) $45$ (B) $37$ (C) $36$ (D) $43$ (E) $42$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.