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If A={1,2,3},\ B={x , y} , then the numb...

If `A={1,2,3},\ B={x , y}` , then the number of functions that can be defined from A into B is `12` b. `8` c. `6` d. 3

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To find the number of functions that can be defined from set A to set B, we can use the formula for the number of functions from a set with m elements to a set with n elements, which is given by: \[ n^m \] Where: - \( n \) is the number of elements in the codomain (set B) ...
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Knowledge Check

  • If A= {1,3,5,7} and B= {1,2,3,4,5,6,7,8} , then the number of one-to-one functions from A into B is

    A
    1340
    B
    1680
    C
    1430
    D
    1880

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