Home
Class 12
MATHS
The number of binary operations that ...

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

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

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

Find the number of binary operations that can be defined on the set A={a,b,c}

If A = {1, b}, then the number of binary operations that can be defined on A is

Define a binary operation on a set.

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

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

For the binary operation * on Z defined by a*b= a+b+1 the identity element is

Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C) 20 (D) 8

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

Define a commutative binary operation on a set.

RD SHARMA ENGLISH-BINARY OPERATIONS-All Questions
  1. Q^+ is the set of all positive rational numbers with the binary oper...

    Text Solution

    |

  2. If the binary operation o. is defined on the set Q^+ of all positive r...

    Text Solution

    |

  3. Let * be a binary operation defined on set Q-{1} by the rule a*b=a+b...

    Text Solution

    |

  4. Which of the following is true? * defined by (a)a*b=(a+b)/2 is a bin...

    Text Solution

    |

  5. The binary operation * defined on N by a*b=a+b+a b for all a ,\ b in...

    Text Solution

    |

  6. If a binary operation * is defined by a*b=a^2+b^2+a b+1 ,then (2*3)*...

    Text Solution

    |

  7. Let * be a binary operation on R defined by a*b= a b+1 . Then, * is ...

    Text Solution

    |

  8. Subtraction of integers is (a)commutative but not associative (b)c...

    Text Solution

    |

  9. The law a+b=b+a is called

    Text Solution

    |

  10. An operation * is defined on the set Z of non-zero integers by a*b...

    Text Solution

    |

  11. On Z an operation * is defined by a*b=a^2+b^2 for all a ,\ b in Z ....

    Text Solution

    |

  12. A binary operation * on Z defined by a*b= 3a+b for all a ,\ b in Z ...

    Text Solution

    |

  13. Let * be a binary operation on N defined by a*b=a+b+10 for all a ,\ ...

    Text Solution

    |

  14. Consider the binary operation * defined on Q-{1} by the rule a*b= a+...

    Text Solution

    |

  15. For the binary operation * defined on R-{1} by the rule a*b=a+b+a b ...

    Text Solution

    |

  16. For the multiplication of matrices as a binary operation on the set...

    Text Solution

    |

  17. On the set Q^+ of all positive rational numbers a binary operation *...

    Text Solution

    |

  18. Let * be a binary operation defined on Q^+ by the rule a*b=(a b)/3 f...

    Text Solution

    |

  19. The number of binary operations that can be defined on a set of 2 e...

    Text Solution

    |

  20. The number of commutative binary operations that can be defined on a...

    Text Solution

    |