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: 383 freshmen had been to neither a movie nor a restaurant, and 268 had been to a movie. If 94 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? both a movie and a restaurant a movie or a restaurant a restaurant a restaurant but not a movie

n a survey of 120 people regarding their tastes in desserts, the following results were obtained: 40 prefer ice cream.47 prefer chocolate.16 prefer ice cream and chocolate.20 prefer ice cream and cake.25 prefer chocolate and cake.9 like all three desserts.28 do not like any of the three desserts.How many people like chocolate or cake but not ice cream?   Your answer must be a whole number.

A drawer contains n white and n black socks. Each white sock has a unique design, and each black sock has a unique design. Two socks are selected at random from the drawer. Every way of selecting the two socks is equally likely and the order in which the socks are selected does not matter. a. How many ways are there to select the two socks? (Reduce your answer to the simplest algebraic expression.) b. How many ways of selecting the socks result in two socks of the same color being chosen? (Reduce your answer to the simplest algebraic expression.) c. What is the probability of selecting two socks of the same color? (Reduce your answer to the simplest algebraic expression.)

2. Molly really enjoyed country music. After listening one afternoon to her favorite station foran hour, she had heard 25 songs. All but 1 song were about either truck drivers, being in love,hound-dog owners, or some combination of the three. She noted the following information: Allof the truck drivers were in love. Three-fourths of the truck drivers were not hound-dogowners. There were six hound-dog owners who were in love. Of the hound-dog owners whowere not truck drivers, half of them were in love. Eighty percent of all the songs concernedpeople in love. How many songs concerned people who were in love but were neither truckdrivers nor hound-dog owners?