Unit 12 · Multi-Step Conditional Reasoning
Subject Preferences — Find the Maximum Maths-Firsts
Lesson 27 of 30
About this lesson
Four students rate English, History and Maths. Four clues constrain their rankings. Some students' rankings are completely fixed by the clues; others have flexibility. To find the maximum who could like maths best, lock in the fixed ones and then choose the best arrangement for the flexible ones.
Chapters
Question
Four students were comparing how much they enjoyed English, history and maths.
Emily liked maths more than history. Only Gemma liked English more than history. Wesley and Rohit both liked maths more than English. No one liked history the least.
What is the maximum number of students who could have liked maths the most?
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