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Question

The number of constant mappings from A equals left curly bracket 1 comma 2 comma 3 comma 4 horizontal ellipsis horizontal ellipsis comma n right curly bracket to B equals left curly bracket a comma b right curly bracket is

  1. text  n!  end text
  2. n
  3. 2
  4. 2 to the power of n

hintHint:

In this question, we have to find the constant mapping from A equals left curly bracket 1 comma 2 comma 3 comma 4 horizontal ellipsis horizontal ellipsis comma n right curly bracket to B equals left curly bracket a comma b right curly bracketConstant Map, A map f:X-->Y is called constant with constant value y if f(x)=y for all x in X, i.e., if all elements of X are sent to same element y of Y.

The correct answer is: 2


    The number of constant mappings from A equals left curly bracket 1 comma 2 comma 3 comma 4 horizontal ellipsis horizontal ellipsis comma n right curly bracket to B equals left curly bracket a comma b right curly bracket is 2.

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