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Cartesian product

Quiz by hesham towfik

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10 questions
Show answers
  • Q1
    What is the result of taking the Cartesian product of sets A and B? A = {1, 2} B = {3, 4}
    C = {(1,3), (1,1), (2,2),(3,4)}
    C = {(1,1), (1,2), (2,3), (2,4)}
    C = {(1,3), (1,4), (2,3), (2,4)}
    C = {(1,2), (3,4)}
    30s
  • Q2
    Given two sets A = {1, 2, 3} and B = {4, 5}, what is the Cartesian product A x B?
    A x B = {(1, 4, 2, 5, 3)}
    A x B = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)}
    A x B = {(1, 4), (2, 4), (3, 4)}
    A x B = {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}
    A x B = {(4, 5)}
    30s
  • Q3
    Given the sets A = {a, b} and B = {1, 2, 3}, what is the Cartesian product A x B?
    A x B = {(a, a), (b, b)}
    A x B = {(a, 1), (a, 2), (a, 3), (b, 1), (b, 2), (b, 3)}
    A x B = {(1, a), (2, b), (3, a), (3, b)}
    A x B = {(1, 1), (2, 2), (3, 3)}
    A x B = {(a, 1), (b, 1), (a, 2), (b, 2), (a, 3), (b, 3)}
    30s
  • Q4
    Consider two sets A = {1, 2, 3} and B = {3, 4, 5}. What is the Cartesian product A x B?
    A x B = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5)}
    A x B = {(3, 4), (4, 5)}
    A x B = {(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 3), (3, 4), (3, 5)}
    A x B = {(1, 3)}
    A x B = {(1, 3, 2, 4, 5)}
    30s
  • Q5
    Given two sets A = {a, b, c} and B = {1, 2}, what is the Cartesian product A x B?
    A x B = {(a, b), (1, 2)}
    A x B = {(a, 1), (a, 2), (b, 1), (b, 2), (c, 1), (c, 2)}
    A x B = {(a, a), (b, b), (c, c)}
    A x B = {(a, 1, b, 2, c)}
    A x B = {(a, 1), (1, a), (b, 1), (1, b), (c, 1), (1, c)}
    30s
  • Q6
    Suppose there are two sets A = {1, 2, 3} and B = {a, b}. What is the Cartesian product B x A?
    B x A = {(a, a), (b, b)}
    B x A = {(1, 1), (2, 2), (3, 3)}
    B x A = {(a, 1), (b, 1), (a, 2), (b, 2), (a, 3), (b, 3)}
    B x A = {(a, 1), (a, 2), (a, 3), (b, 1), (b, 2), (b, 3)}
    B x A = {(1, a), (2, b), (3, a), (3, b)}
    30s
  • Q7
    What is the Cartesian product of an empty set A with any set B?
    The Cartesian product is an empty set
    A x B = {(b, ∅) | b ∈ B}
    A x B = {(∅, ∅)}
    A x B = B
    A x B = {(∅, b) | b ∈ B}
    30s
  • Q8
    Consider two sets A = {1, 2} and B = {2, 3, 4}. What is the Cartesian product B x A?
    B x A = {(2, 1), (2, 2), (3, 1), (3, 2), (4, 1), (4, 2)}
    B x A = {(2, 2), (3, 3), (4, 4)}
    B x A = {(1, 2), (2, 1)}
    B x A = {(2, 1), (2, 2)}
    B x A = {(4, 1), (3, 2)}
    30s
  • Q9
    Given sets A = {1, 2} and B = {a, b}, what is the Cartesian product A x B?
    A x B = {(1, 1, a, b, 2)}
    A x B = {(a, 1), (b, 1), (a, 2), (b, 2)}
    A x B = {(a, a), (b, b)}
    A x B = {(1, a), (1, b), (2, a), (2, b)}
    A x B = {(a, 1), (a, 2), (b, 1), (b, 2)}
    30s
  • Q10
    Suppose there are sets A = {1, 2} and B = {3, 4}. What is the Cartesian product A x B?
    A x B = {(1, 4), (2, 4), (3, 4)}
    A x B = {(1, 3, 2, 4)}
    A x B = {(1, 1), (2, 2), (3, 3), (4, 4)}
    A x B = {(1, 3), (1, 4), (2, 3), (2, 4)}
    A x B = {(3, 4)}
    30s

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