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JEE Mains · Maths · STD 12 - 1. relation and function

ધારો કે \(S =\{1,2,3,4,5,6\}\) અને \(P ( S )\) એ \(S\) નો ઘાતગણ દર્શાવે છે.તો જયારે \(n < m\) હોય ત્યારે \(f(n) \subset f(m)\) થાય તેવા એક-એક વિધેયો \(f: S \rightarrow P(S)\) ની સંખ્યા \(........\) છે.

  1. A \(3241\)
  2. B \(3242\)
  3. C \(3243\)
  4. D \(3240\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(3240\)

Step-by-step Solution

Detailed explanation

Let \(S=\{1,2,3,4,5,6\}\), then the number of one-one functions, \(f : S \cdot P ( S )\), where \(P ( S )\) denotes the power set of \(S\), such that \(f ( n ) < f ( m )\) where \(n < m\) is \(n(S)=6\)…
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