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  • Try this! If set A has 10 elements and set B has 5 elements. How many elements are there in cartesian product AxB?

If set A has 10 elements and set B has 5 elements. How many elements are there in cartesian product AxB?

  • Option 1)

    40

  • Option 2)

    50

  • Option 3)

    60

  • Option 4)

    70

 

Answers (1)

best_answer

As we learnt

 

CARTESIAN PRODUCT -

 

A × B of two sets A and B is given by
A × B = {(a,b): a ∈ A,b ∈ B}

In particular R × R = {(x,y): x,y ∈ R} and R × R × R = (x,y,z): x,y,z ∈ R}
 

- wherein

If A= \left \{ 1,2 \right \}\: and\: B= \left \{ a,b \right \}

Then A\times B= \left \{ \left ( 1,a \right ) ; \left ( 1,b \right ); \left ( 2,a \right ); \left ( 2,b \right )\right \}

 

 The cartesian product will have 10*5=50 elements.

 


Option 1)

40

Option 2)

50

Option 3)

60

Option 4)

70

Posted by

Himanshu

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