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Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationDearrangementMedium2 minQB

MathematicsMediumsingle choice

Let $f : A \to A$ be an invertible function where $A = {1, 2, 3, 4, 5, 6}$ The number of these functions in which at least three elements have self image is

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Answer:

Solution:

$n_{c_{r}} r! (\frac{1}{0 !} - \frac{1}{1 !} + \frac{1}{2 !} - \dots\dots ..)$

$Required functions = σ_{c_{3}} (2) + σ_{c_{4}} (1) + σ_{c_{5}} (0) + σ_{c_{6}}$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Dearrangement

⏱ 2mℹ️ Source: QB

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