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If function f(x) is defined from set A t...

If function f(x) is defined from set A to B, such that `n(A)=3` and `n(B)=5`. Then find the number of one-one functions and number of onto functions that can be formed.

Text Solution

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To solve the problem of finding the number of one-one and onto functions from set A to set B, we will follow these steps: ### Step 1: Understanding the Sets Given: - Set A has \( n(A) = 3 \) elements. - Set B has \( n(B) = 5 \) elements. ### Step 2: Finding the Number of One-One Functions ...
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Knowledge Check

  • Let n(A)=3 and n(B)=5, then the number of one-one functions from A to B is :

    A
    15
    B
    60
    C
    125
    D
    10
  • Let n(A)=3 and n(B)=5 , then the number of one - one functions from A to B is

    A
    15
    B
    60
    C
    125
    D
    10
  • If n(A)=4" and "n(B)=6 . Then, the number of one-one function from A to B is

    A
    24
    B
    60
    C
    120
    D
    360
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