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 \( q^{p} \). [Online May 12, 2012] Statement 2: The total number of selections of \( p \) different objects out of \( q \) objects is \( { }^{q} \mathrm{C}_{p} \).

Statement 1 is true, Statement 2 is false.

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

Statement 1 is false, Statement 2 is true

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JEE MATHEMATICS MCQ: COMBINATIONS

1 Medium

1 of 1

Understanding +4 | -1

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

q^{p}

.
[Online May 12, 2012]
Statement 2: The total number of selections of

p

different objects out of

q

objects is

{ }^{q} \mathrm{C}_{p}

View answer and explanation

Correct option: D

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

Option D. Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1 is correct because statement 1 correctly states the number of functions from set A to set B, and statement 2 correctly states the number of selections of p objects from q objects.