Library / /401 of 472

, 2009

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

How many four-digit integers between 5000 and 6000 are there for which the thousands digit equals the sum of the other three digits? (The thousands digit of 5124 is 5.)

(A) $5$ (B) $15$ (C) $21$ (D) $30$ (E) $12$

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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.