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UKMT Junior Mathematical Challenge, 2018

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Beatrix places copies of the L-shape shown on a $4 \times 4$ board so that each L-shape covers exactly three cells of the board. She is allowed to turn around or turn over an L-shape. What is the largest number of L-shapes she can place on the board without overlaps?

(A) $2$ (B) $3$ (C) $4$ (D) $5$ (E) $6$

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