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Discussion :: Sets, Relations and Functions

  1.  The number of partitions of {1, 2, 3, 4, 5} into three blocks is S(5, 3) = 25. The total number of functions f : {1, 2, 3, 4, 5} → {1, 2, 3, 4} with |Image(f)| = 3 is

    2. A.

    4 × 6
    B.

    4 × 25
    C.

    25 × 6
    D.

    4 × 25 × 6

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    Answer : Option D

    Explanation :

    4 × 25 × 6

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