Q85.Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S →S such that f(m ⋅n) = f(m) ⋅f(n) for every m, n ∈S and m ⋅n ∈S , is equal to _____.
What This Question Tests
This problem involves finding the number of functions satisfying a multiplicative property on a finite set, requiring careful consideration of prime factors and their images.
Concepts Tested
📚 NCERT Sections This Tests
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
14.1 — In An N-Type Silicon, Which Of The Following Statement Is True:
Physics Class 12 · Chapter 14
14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Number of functions satisfying a given property
- Year
- 2021
- Shift
- 27 Jul Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 2: Relations and Functions
More from this Chapter
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