Q72.Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the number of elements in the set C = {f : A →B ∣2 ∈f(A) and f is not one-one } is …
What This Question Tests
This problem requires calculating the number of functions satisfying two conditions: 2 is in the range of the function, and the function is not one-one. This involves combining concepts of total functions, one-one functions, and the principle of inclusion-exclusion.
Concepts Tested
Formulas Used
Number of functions from A to B is |B|^|A|
Number of one-one functions from A to B is P(|B|, |A|)
📚 NCERT Sections This Tests
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4.13 How is the variability in oxidation states of transition metals different from that of the non transition metals? Illustrate with examples.
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Number of Functions
- Year
- 2020
- Shift
- 05 Sep Shift 2
- Q Number
- Q72
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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