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 $q^P$.
Statement $2$ : The total number of selections of $p$ different objects out of $q$ objects is ${}^q{C_p}$.

  • [AIEEE 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 $1$

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