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JEE Main & Advanced JEE Main Paper (Held On 12 May 2012)

  • question_answer
    Statement 1: If A and B be two sets having p and q elements respectively, where q > p. Then the total number of functions from set A to set B is \[{{d}^{p}}.\]. Statement 2: The total number of selections of p different objects out of q objects is \[^{q}{{C}_{p}}.\]     JEE Main Online Paper (Held On 12 May 2012)

    A) Statement 1 is true. Statement 2 is false.

    B)                        Statement 1 is true. Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

    C)                        Statement 1 is false, Statement 2 is true

    D)                        Statement 1 is true. Statement 2 is true, Statement 2 is a correct explanation of Statement 1.

    Correct Answer: D

    Solution :

                    Statement -1:\[n(A)=p,n(B)=q,q>p\] Total number of functions from \[A\to B={{q}^{p}}\] It is a true statement. Statement - 2 : The total number of selections of p different objects out of q objects is \[^{q}{{C}_{p}}.\] It is also a true statement and it is a correct explanation for statement -1 also.


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