Fermat 2024 Part C - Question 22, CEMC UWaterloo

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Difficulty: 6

This problem is tagged with fermat, fermat24, highschool.

(Fermat 2024, Part C, Question 22, CEMC - UWaterloo)

Four distinct integers $a$, $b$, $c$, and $d$ are chosen from the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$. What is the greatest possible value of $ac+bd-ad-bc$?

Answer Submission Note(s)
Your answer should be an integer from 0 to 99, inclusive.
Do NOT code a single digit answer with a leading zero, as you would in the actual contest.

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