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The number of subsets in a set consistin...

The number of subsets in a set consisting of four distinct elements is_____

A

4

B

8

C

16

D

64

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The number of proper subsets in a set consisting of five distinct elements is_____

    A
    5
    B
    10
    C
    32
    D
    31

  • The number of subsets of a set containing n distinct elements is

    A
    `.^nP_0` + `.^nP_1`+......+`.^nP_n`
    B
    `.^nC_0` + `.^nC_1`+......+`.^nC_n`
    C
    `2^n`
    D
    None of these

  • A set contains (2n + 1) elements. The number of subsets of the which contain at most n elements is

    A
    `2^n`
    B
    `2^(n + 1)`
    C
    `2^(n - 1)`
    D
    `2^(2n)`

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    Period 2 consists of eight elements.

    Two finite sets A and B consist of m and n elements respectively. The number of subsets in A exceeds that of B by 112. Find the values of m and n.

    Let A and B be two sets containing four and two elements repectively . Then the number of subsets of the set AxxB , each having at least elements is -

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