Q89.Let S = {1, 2, 3, 4} . Then the number of elements in the set { f : S × S →S : f is onto and f(a, b) = f(b, a) ≥a∀(a, b) ∈S × S } is
What This Question Tests
This question is a complex counting problem that combines multiple constraints: the function must be onto, symmetric (f(a,b)=f(b,a)), and satisfy f(a,b) ≥ a. It requires careful enumeration of possible function mappings under these conditions.
Concepts Tested
📚 NCERT Sections This Tests
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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📋 Question Details
- Chapter
- Permutation & Combination
- Topic
- Functions and Counting
- Year
- 2022
- Shift
- 28 Jun Shift 2
- Q Number
- Q89
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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