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Forty students took part in a Mathematics Olympiad. They had to solve one problem in Algebra, one in Geometry and one in Trigonometry.
The results are tabulated below :
Problem Solved Number of students solving the problems
in algebra 20
in geometry 18
in trigonometry 18
in algebra and geometry 7
in algebra and trigonometry 8
in geometry and trigonometry 9
It is also known that three students did not solve a single problem. Find the number of students who solved all the three problems. Also find number of students who solved two problems.
2 Answers
- trueproberLv 75 years agoFavorite Answer
Hello Carlton dear, what our friend D.W. says is correct. Some data is missing. So we cannot solve it. Now I have given the Venn diagram drawn duly.
Any way by logic 1-x confirms that x could not exceed 1. So let x be 1
There by only one has solved all the three problems.
Numbers solved two are 7+8+9=24
And total number of students = 33 (This data is missing)
Any way logic helps to get the right answer.
- DWReadLv 75 years ago
Draw a Venn diagram.
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Well, I drew the diagram and solved it for you, but you gave me a thumbs-down so...
