Home
Class 12
MATHS
Write the total number of binary oper...

Write the total number of binary operations on a set consisting of two elements.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|163 Videos
  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Find the total number of binary operations on {a ,\ b} .

Define a binary operation on a set.

A binary operation on a set has always the identity element.

Determine the total number of binary operations on the set S={1,\ 2} having 1 as the identity element.

A binary operation is chosen at random from the set of all binary operations on a set A containing n elements. The probability that the binary operation is commutative, is

Define a commutative binary operation on a set.

Define an associative binary operation on a set.

The number of binary operations that can be defined on a set of 2 elements is (a) 8 (b) 4 (c) 16 (d) 64

Let S={a ,\ b ,\ c} . Find the total number of binary operations on Sdot

The number of commutative binary operations that can be defined on a set of 2 elements is

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Define a commutative binary operation on a set.

    Text Solution

    |

  2. Define an associative binary operation on a set.

    Text Solution

    |

  3. Write the total number of binary operations on a set consisting of ...

    Text Solution

    |

  4. Write the identity element for the binary operation * defined on the...

    Text Solution

    |

  5. Let * be a binary operation, on the set of all non-zero real number...

    Text Solution

    |

  6. Write the inverse of 5 under multiplication modulo 11 on the set {1...

    Text Solution

    |

  7. Define identity element for a binary operation defined on a set.

    Text Solution

    |

  8. Write the composition table for the binary operation multiplication...

    Text Solution

    |

  9. Write the composition table for the binary operation multiplication ...

    Text Solution

    |

  10. For the binary operation multiplication modulo 5\ (xx5) defined on ...

    Text Solution

    |

  11. Write the composition table for the binary operation xx5 (multiplic...

    Text Solution

    |

  12. A binary operation * is defined on the set R of all real numbers by ...

    Text Solution

    |

  13. Let +6 (addition modulo 6) be a binary operation on S={0,\ 1,\ 2,\ ...

    Text Solution

    |

  14. Let * be a binary operation defined by a*b=3a+4b-2 . Find 4*5.

    Text Solution

    |

  15. If the binary operation * on the set Z of integers is defined by a...

    Text Solution

    |

  16. Let * be a binary operation on N given by a*b=H C F\ (a ,\ b),\ \ a ...

    Text Solution

    |

  17. Let * be a binary operation on set of integers I , defined by a*b=2a...

    Text Solution

    |

  18. If a*b=a^2+b^2, then the value of (4*5)*3 is (i)(4^2+5^2)+3^2 (ii) (4...

    Text Solution

    |

  19. If a*b denote the bigger among a and b and if a b=(a*b)+3 , then 4*...

    Text Solution

    |

  20. If the binary operation * on Z is defined by a*b=a^2-b^2+a b+4 , then ...

    Text Solution

    |