Question 1135299: According to students survey, 23 students like history, 26 students liked English, 25 liked mathematics, 15 like math and English, 12 liked history and English. 14 like history and mathematics, 3 liked all of them, and every student liked at least one of the subjects.
a. How many students were in the survey?
b. how many students like only English?
c. How many students like English and history but not mathematics?
Answer by ikleyn(52810)   (Show Source):
You can put this solution on YOUR website! .
I solved such problems MANY times in this forum and created appropriate lessons in this site.
So, I will give you the references.
The lessons are
- Counting elements in sub-sets of a given finite set
- Advanced problems on counting elements in sub-sets of a given finite set
- Challenging problems on counting elements in subsets of a given finite set
The links to similar solved problems in archive to this forum are
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1132870.html
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1129554.html
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1129554.html
https://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.1126097.html
https://www.algebra.com/algebra/homework/word/evaluation/Evaluation_Word_Problems.faq.question.1126099.html
Now, believe me, you will benefit in 1000 times more if you read from these sources, than if I present the solution to you.
In 1000 times more - there is NO DOUBT !
H a p p y l e a r n i n g ! !
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