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Problem 389

Combinatorics Difficulty 2.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2018

Three friends, Ms Raja, Ms Omar and Ms Beatty all live in the same street. They are a doctor, an engineer and a musician in some order. The youngest one, the doctor, does not have a brother. Ms Beatty is older than the engineer and is married to Ms Omar's brother. What are the names, in order, of the doctor and the engineer?

(A) Raja and Omar (B) Omar and Beatty (C) Beatty and Omar (D) Raja and Beatty (E) Omar and Raja

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