Fsc Part 1 Mathematics (Complete Solution)

#
Q5

Which of the following binary operations showun in tables (a) and (b) is

**(a)**

* |
a |
b |
c |
d |

a |
a |
c |
b |
d |

b |
b |
c |
b |
a |

c |
c |
d |
b |
c |

d |
a |
a |
b |
b |

**(b)**

* |
a |
b |
c |
d |

a |
a |
c |
b |
d |

b |
c |
d |
b |
a |

c |
b |
b |
a |
c |

d |
d |
a |
c |
d |

Solution:

Binary operation in table (a) is not commutative (∴ a * c=b, c * a=c).

Binary operation in table (b) is not commutative. (∴ a * b=c, b * a=b)