Set Theory: 70 Students Visiting 3 Universities

In summary, Set Theory is a branch of mathematics that deals with the study of sets and is important in this scenario because it helps us understand and organize the data of 70 students visiting 3 universities. There are three sets involved: the set of students, the set of universities, and the set of combinations. The cardinality of the sets are 70, 3, and 210 respectively. Set Theory provides tools and concepts to analyze the relationships between sets and can be applied to various scenarios. It is a versatile and fundamental concept in mathematics with numerous real-world applications.
  • #1
tdot147
1
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in a coaching centre of 70 but 4 students went on a university visit.31 went to unilag,35 went to lasu and 36 went to u.i. 10 went to all the three universities, 12 went to unilag only, 13 also went to lasu only, 15 went to u.i only. how many students visited

1 . . unilag and lasu

2 . .at least 2 universities

3 . . exactly 2 universities

4 . .u.i or unilag but not lasu
 
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  • #2
draw the typical sketch of 3 circles where all 3 intersect in the middle and around you have 2-circle intersection areas...start populating the areas according to the description of the problem
 

FAQ: Set Theory: 70 Students Visiting 3 Universities

What is Set Theory and why is it important in this scenario?

Set Theory is a branch of mathematics that deals with the study of sets, which are collections of objects. In this scenario, Set Theory is important because it helps us understand and organize the data of 70 students visiting 3 universities.

How many sets are involved in this scenario?

There are three sets involved in this scenario: the set of 70 students, the set of 3 universities, and the set of possible combinations of students and universities.

What is the cardinality of each set in this scenario?

The cardinality, or the number of elements, of the set of students is 70. The cardinality of the set of universities is 3. And the cardinality of the set of combinations is 70 multiplied by 3, which is 210.

How can Set Theory help us analyze the data in this scenario?

Set Theory provides us with tools and concepts such as Venn diagrams, unions, and intersections that can help us visualize and analyze the relationships between the sets of students and universities in this scenario. It can also help us identify any patterns or commonalities among the students or universities.

Can Set Theory be applied to other scenarios?

Yes, Set Theory can be applied to a wide range of scenarios, such as studying the relationships between different species in an ecosystem, analyzing market trends, or organizing data in database systems. It is a versatile and fundamental concept in mathematics and has numerous real-world applications.

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