Difference between revisions of "2023 SSMO Tiebreaker Round Problems"
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Latest revision as of 21:48, 15 December 2023
Problem 1
From the phrase "Summer Solstice", how many ways are there to make a 4 letter "word" such that the second and third letters aren't spaces and the first letter is capital. Note: You can only use a letter twice if it appears in "Summer Solstice" twice.
Problem 2
Let be a real polynomial with nonnegative and nonzero real roots . Suppose that If for squarefree find .
Problem 3
For let be the maximum possible value of given that is a degree monic polynomial that satisfies for If for relatively prime positive integers and find