12th Class Mathematics Relations and Functions Question Bank Case Based (MCQs) - Relations and Functions

  • question_answer
    Raji wants to know the number of functions from A to B. How many number of functions are possible ?

    A) \[{{6}^{2}}\]

    B) \[{{2}^{6}}\]

    C) 6!

    D) \[{{2}^{12}}\]

    Correct Answer: A

    Solution :

    \[R=\left\{ \left( 1,\,1 \right),\,\left( 1,\,2 \right),\,\left( 1,3 \right),\,\left( 1,4 \right)\,\left( 1,\,5 \right),\,\left( 1,6 \right) \right.\] \[\left. \left( 2,\,2 \right),\,\left( 2,\,4 \right),\,\left( 2,\,6 \right),\,\left( 3,\,3 \right),\,\left( 3,\,6 \right),\,\left( 4,\,4 \right),\left( 5,5 \right),\,\left( 6,\,6 \right) \right\}\] Number of functions from A to B \[={{\left( n\left( B \right) \right)}^{n\left( A \right)}}={{6}^{2}}\].


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