Q76.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 qp Statement 2: The total number of selections of p different objects out of q objects is qCp . (1) Statement 1 is true, Statement 2 is false. (2) Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1. (3) Statement 1 is false, Statement 2 is true (4) Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
What This Question Tests
Evaluates knowledge of fundamental counting principles for functions and selections, and the ability to differentiate between these two distinct concepts.
Concepts Tested
Formulas Used
Number of functions from A to B = |B|^|A|
qCp = q! / (p!(q-p)!)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Counting principles
- Year
- 2012
- Shift
- 12 May Online
- Q Number
- Q76
- Type
- Assertion Reasoning
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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