Seventy-five cars sit on a parking lot. Thirty have stereo systems, 30 have air conditioners and 40 have sun roofs. Thirty of the cars have at least two of these three options, and 15 have all three.How many cars on the lot have at least one of the three optionsHow many have exactly one(Hint: Try the inclusion-exclusion formula, carefully.)

Answered: How many cars on the lot have at least…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. Joe's Diner offers an all-you-can-eat buffet at $25.90 per adult and $17.90 per child. On a particular day, the diner had a total buffet revenue of $6609.40 from 266 customers. How many of the customers were children?
At the National Baseball Batting Contest, the organizers have set up game booths for the contestants. Richard wants to win a large stuffed animal. The rules of the game are as follows: You are pitched 5 fastballs, and you must hit them into a fair zone to count. • If you successfully hit all 5 pitches, you win a large stuffed animal. If you successfully hit 3 or 4 pitches, you win a small stuffed animal. • If you successfully hit 1 or 2 pitches, you win a bat-shaped pencil. If you miss all the pitches, you do not win a prize. • The game costs $3 to play (each set of 5 fastballs). Everyone has the same chance as Richard to win. If 160 people each play the game once, how many large stuffed animals will be won?
To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 130 students ate breakfast. 177 students ate lunch. 276 students ate dinner. 65 students ate breakfast and lunch, 115 students ate breakfast and dinner. 86 students ate lunch and dinner. 54 students ate all three meals. How many students ate (a) At least one meal in the cafeteria? students (b) Exactly one meal in the cafeteria? students (c) Only dinner in the cafeteria? students (d) Exactly two meals in the cafeteria? students ***
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To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 127 students ate breakfast.183 students ate lunch.272 students ate dinner.60 students ate breakfast and lunch.111 students ate breakfast and dinner.90 students ate lunch and dinner.53 students ate all three meals. How many students ate (a) At least one meal in the cafeteria? students(b) Exactly one meal in the cafeteria? students(c) Only dinner in the cafeteria? students(d) Exactly two meals in the cafeteria? students
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How many cars on the lot have at least one of the three options How many have exactly one ? (Hint: Try the inclusion-exclusion formula, carefully.)