Cardinal Property of a Set

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  • Q1

    Define cardinal number of a set.

    Marks:1
    Answer:

    The number of distinct elements in a set is called its cardinal number. The cardinal number of a set A is represented by n(A).

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  • Q2

    If A = {x: x is a square of natural number, X < 50}. Find n(A).

    Marks:1
    Answer:

    We have,
    A ={x: x is a square of natural number, x< 50}.

    In roster form, set A will be written as:

    A = {1, 4, 9, 16, 25, 36, 49}

    Hence, n(A) = number of distinct elements in set A.

    = 7

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  • Q3

    Marks:1
    Answer:

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  • Q4

    Marks:1
    Answer:

    Given B = {2, 3, 4, 5, 6, 2, 5, 4, 3, 7}.

    We know that all the elements in a set are distinct.
    So, we omit repeated elements.

    Thus, set B can be written as
    B = {2, 3, 4, 5, 6, 7}.

    Now, n(B) = number of elements in B

    = 6

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  • Q5

    Find the cardinal number of the set of all planets of our solar system.

    Marks:1
    Answer:

    The set of all planets of our solar system is given by,
    P = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
    The number of distinct elements in the set gives the cardinal number or n(P).

    Hence, n(P) = 8.

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