A group of students was surveyed to find out their preferred dish, the following information was obtained: 594 liked pizza, 784 like fried rice, 796 liked lasagna, 200 liked all three dishes 60 liked none, 54 liked only lasagna, 522 liked fried rice and lasagna, and 100 liked pizza and fried rice but not lasagna. i. Find the number of students that liked only fried rice ii. Find the number of students that like only pizza iii. Find the number of students that were interviewed iv. Find the percentage of students who liked one dish only v. Find the percentage of students who liked at least dish

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A group of students was surveyed to find out their preferred dish, the following information
was obtained: 594 liked pizza, 784 like fried rice, 796 liked lasagna, 200 liked all three dishes

60 liked none, 54 liked only lasagna, 522 liked fried rice and lasagna, and 100 liked pizza and
fried rice but not lasagna.
i. Find the number of students that liked only fried rice
ii. Find the number of students that like only pizza
iii. Find the number of students that were interviewed
iv. Find the percentage of students who liked one dish only
v. Find the percentage of students who liked at least dish

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