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A Professor Teaching a Discrete Math Course Gives a Multiple

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A professor teaching a Discrete Math course gives a multiple choice quiz that has ten questions, each with four possible responses: a, b, c, d. What is the minimum number of students that must be in the professor's class in order to guarantee that at least three answer sheets must be identical? (Assume that no answers are left blank.)


Definitions:

Testosterone

The principal male sex hormone (androgen); a steroid hormone produced by the interstitial cells of the testes; stimulates spermatogenesis and is responsible for primary and secondary sex characteristics in the male.

Masculine Characteristics

Traits typically associated with male biology or gender identity, including physical, behavioral, or physiological features considered masculine.

Estrogen Levels

The concentration of estrogen, a primary female sex hormone, in the body which affects various functions and developmental processes.

Prostaglandins

A collection of lipid-based substances that possess a wide range of effects similar to hormones in animals.

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