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Let A and B be finite sets and P(A) an...

Let A and B be finite sets and `P_(A) and P_(B)` respectively denote their power sets . If `P_(B)` has 112. elements more than those in `P_(A)` then the number of functions from A to B which are injective is

A

224

B

56

C

120

D

840

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The correct Answer is:
D
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Knowledge Check

  • If A, B are two sets such that n(A) = 15, n(B) = 20, then the number of injections from A into B is

    A
    `2^(0)P_(15)`
    B
    `15 xx 20`
    C
    `15^(20)`
    D
    `20^(15)`

  • Set A contains 3 elements and set B contains 2 elements. The number of onto functions from A onto B is

    A
    3
    B
    6
    C
    8
    D
    9

  • Two finite sets A and B have n and 2 elements respectively. For n ge 2 , if the number of surjections from A to B are 62, then n =

    A
    5
    B
    6
    C
    7
    D
    31

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