Use the following Euler diagram to determine which of the following statements are true. (...

Use the following Euler diagram to determine which of the following statements are true. (Assume that there is at least one person in every region within the circles.)

a. All women are mathematicians.

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b. Euclid was a woman.

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c. All mathematicians are men.

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d. All professors are humans.

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e. Some professors are mathematicians.

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f. Euclid was a mathematician and human.