Set Theory: 70 Students Visiting 3 Universities

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SUMMARY

The discussion focuses on a set theory problem involving 70 students visiting three universities: Unilag, Lasu, and U.I. Key data includes 31 students visiting Unilag, 35 visiting Lasu, and 36 visiting U.I., with 10 students attending all three universities. Specific counts for exclusive visits are 12 for Unilag only, 13 for Lasu only, and 15 for U.I. only. The discussion aims to determine the number of students visiting Unilag and Lasu, those attending at least two universities, exactly two universities, and those visiting U.I. or Unilag but not Lasu.

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  • Understanding of basic set theory concepts
  • Familiarity with Venn diagrams
  • Ability to perform set operations (union, intersection)
  • Knowledge of problem-solving techniques in combinatorics
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  • Learn about set operations and their applications in real-world problems
  • Explore combinatorial counting techniques
  • Investigate advanced set theory concepts such as cardinality and subsets
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Students, educators, and mathematicians interested in set theory applications, particularly in solving problems related to multiple groups and their interactions.

tdot147
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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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