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Quiz MA 110-91: Set Theory and Venn Diagrams, Exercises of Mathematics

A quiz on set theory and venn diagrams. It includes four questions that require students to find intersections and complements of sets using both formulas and venn diagrams. The quiz covers topics such as set notation, venn diagrams, and basic set operations.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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pariyat 🇮🇳

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MA 110-91
§2.1 – 2.3−Quiz #3 score
Name:
9 February 2002
1. Draw a generic Venn diagram to illustrate the set A∩B.(5 points)
2. Suppose that our universal set consists of half of the lower case letters, U={a,b,c,...,m}.
Let A={a, c, e, h, i, j , k, m}and B={a,b , i, j, m}. Find the set (A ∪B).(5 points)
3. From a group of 300 people, we find that 170 of them enjoy watching football, 210 enjoy
watching basketball, and 27 enjoy neither. How many enjoy both? Explain how you
achieve your solution either using formulas or a properly labelled Venn diagram. (5 points)
4. From a group of 10 math majors, 6 physics majors, and 8 history majors, a committee will
be formed consisting of exactly one person from each group. How many such committees
would be possible? (5 points)

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MA 110-

§2.1 – 2.3−^

Quiz

score

Name:

9 February 2002

  1. Draw a generic Venn diagram to illustrate the set A ′^ ∩ B. (5 points)
  2. Suppose that our universal set consists of half of the lower case letters, U = { a, b, c,... , m }. Let A = { a, c, e, h, i, j, k, m } and B = { a, b, i, j, m }. Find the set (A ∪ B) ′. (5 points)
  3. From a group of 300 people, we find that 170 of them enjoy watching football, 210 enjoy watching basketball, and 27enjoy neither. How many enjoy both? Explain how you achieve your solution either using formulas or a properly labelled Venn diagram. (5 points)
  4. From a group of 10 math majors, 6 physics majors, and 8 history majors, a committee will be formed consisting of exactly one person from each group. How many such committees would be possible? (5 points)