A Survey on Five Series

Difficulty: Hard · Topics: Discrete Mathematics, Sets, Word Problems

A television company surveyed a group of people to see how much its five series A, B, C, D and E, broadcast within one week, were watched.

- The five series were watched 485 times in total. - The numbers of people who watched any two of the five add up to 301. - The numbers of people who watched any three of the five add up to 211. - The numbers of people who watched any four of the five add up to 86. - 37 people watched all five of them. - 14 people watched none of the five.

On how many people was this survey carried out?