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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 .

Options

  1. AStatement 1 is true, Statement 2 is false.
  2. BStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
  3. CStatement 1 is false, Statement 2 is true
  4. DStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.

Correct answer

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

Step-by-step solution

Statement-1: n(A)=p, n(B)=q, q>p Total number of functions from A 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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