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A survey asked 816 college freshmen whether they had been to a movie or eaten in a restaurant during the past week. The following information was obtained: 387 freshmen had been to neither a movie nor a restaurant, and 263 had been to a movie. If 90 of those who had been to a movie had not been to a restaurant, how many of the surveyed freshmen had been to the following?a. both a movie and resturantb. a movie or a resturantc. a resturantd. a resturant but not a movie

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Answers with there Explanation:

Part A Both a movie and restaurant

The people who went to movie are 263

But the people who don't went to restaurant of 263 are 90.

So the answer is 173 (263 - 90).

Part B A movie or a restaurant

The people who were surveyed are 816 and out of this who didn't went to either restaurant or a movie were 387.

So the person who either went to restaurant or movie are 429 (816 - 387).

Part C A restaurant

The person who were either to movie or restaurant are 429 (Option B). So out of 429, if the total number of person who had not been to restaurant is 90 then the people who went to restaurant is 339 (429 - 90).

Part D Restaurant but not a movie

The person who were on a movie or restaurant were 429 and out of this the person who were on movie were 263 so the people who were only to restaurant are 166 (429 - 263).

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