2. 100 college students were surveyed, and it was found out that all of them have visited at least one of the following three cities: Manila (M), Pasig (P), and Quezon (Q). 52 of the students visited Pasig. 53 of the students visited Manila. 65 of the students visited Quezon. 19 of the students visited Manila and Pasig. 31 of the students visited Manila and Quezon. 28 of the students visited Pasig and Quezon. 38 of the students visited exactly one of the following cities: Manila, Pasig, and Quezon. b.) How many students visited all of the following cities: Manila, Pasig, and Quezon?

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A: Solving for x

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A: Given problem:-

Q: Question

A: Please find the attached image for solution

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A:

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A:

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A:

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A: On solving this we will get

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A: This is a problem related to geometry part of the mathematics. Based on the general formula and…

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A: Here is the solution

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A:

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A: To prove the identity.

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A: To solve the system.