Home
Class 12
MATHS
If A and B are finite sets with n(A) =3 ...

If A and B are finite sets with n(A) =3 and N(B)=6 then find `n(AxxB)`

Text Solution

AI Generated Solution

To solve the problem, we need to find the number of elements in the Cartesian product of two finite sets, A and B. The number of elements in the Cartesian product \( A \times B \) can be calculated using the formula: \[ n(A \times B) = n(A) \times n(B) \] ### Step-by-Step Solution: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION OR DERIVATIVE OF A FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|223 Videos

  • INTEGRATION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|48 Videos

Similar Questions

Explore conceptually related problems

If A and B are finite sets such that n(A)=5 and n(B)=7,then find the number of functions from A to B.

A and B two sets such that n(A)=3 and n(B)=6 , then

If A and B are finite sets such that n(A)=m and n(B)=k ,find the number of relations from A to B .is equal to-

If A and B are two disjoint sets n(A)+n(B)=24 then find n(A cup B)

The set A and B has 3 common elements . If n(A) =5 and n(B)=4, then find n(AxxB) and x{(AxxB)nn (BxxA)}

If A and B are two sets such that n (A) =37, n(B) =26 and n (A cup B) =51 , find n(A cap B) .

If A and B are two sets, then n(A)+ n(B) is equal to

Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B)=36 , then find n(A ∩ B) .

A and B are finite sets. 3n(A)=4n(B)=2n (AuuB) and n(AnnB)=12 then n(AuuB)=

MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Write the domain and range of the function f(x)=[x]

    Text Solution

    |

  2. If f(x)=4x-x^2 then find f(a+1)-f(a-1)

    Text Solution

    |

  3. If A and B are finite sets with n(A) =3 and N(B)=6 then find n(AxxB)

    Text Solution

    |

  4. Is the function f:R rarr R be defined by f(x)=2x+3 a one on one functi...

    Text Solution

    |

  5. Find the range of the function f(x)=abs(x-a)/(x-a) , x is not equal to...

    Text Solution

    |

  6. Find the domain of the function f(x)=x/(x^2+5x+6)

    Text Solution

    |

  7. Find the range of the function f(x)=-x^2-100

    Text Solution

    |

  8. Is the function f(x)=absx one on one?

    Text Solution

    |

  9. Show that the function f:RrarrR defined by f(x)=x^(2) is neither one-o...

    Text Solution

    |

  10. If R denotes the set of all real numbers, then the function f : R to R...

    Text Solution

    |

  11. A horizontal line meets the graph of the function y=f(x) in two points...

    Text Solution

    |

  12. If t(C)=(9C)/5+32 write the value of t(28)

    Text Solution

    |

  13. Find the range of the function f(x)=[x],1lexlt3

    Text Solution

    |

  14. Find the total number of function from a set A to B where n(A)=3 and n...

    Text Solution

    |

  15. Find the period of the function f(x)=sin5x

    Text Solution

    |

  16. If (x+y,x-y)=(1,2) find x and y

    Text Solution

    |

  17. Find the domain and range of the following relation R={(1,3),(1,5),(1,...

    Text Solution

    |

  18. Find the domain and range of the following relation R={(x,y):x in N ,x...

    Text Solution

    |

  19. Find the domain and range of the following relation R={(x+2,x+4):x in ...

    Text Solution

    |

  20. which of the following relations are functions from A={1,3,5,7,9} to B...

    Text Solution

    |