\(यदि (U={1,2,3,4,5,6,7,8,9,10}) और (A={x:x\in U,\ x\) सम संख्या है}), तो (P(A')) के कितने अवयवों में ठीक (2) अवयव होंगे?
\(If (U={1,2,3,4,5,6,7,8,9,10}) and (A={x:x\in U,\ x\) is an even number}), then how many elements of (P(A')) will have exactly (2) elements?
Explanation opens after your attempt
Correct Answer
B. (10)
Concept
(A'={1,3,5,7,9}), so the subsets with exactly (2) elements are \(\binom{5}{2}=10\). First find the complement set and then use combinations.
Why this answer is correct
The correct answer is B. (10). (A'={1,3,5,7,9}), so the subsets with exactly (2) elements are \(\binom{5}{2}=10\). First find the complement set and then use combinations.
Exam Tip
(A'={1,3,5,7,9}), इसलिए ठीक (2) अवयव वाले उपसमुच्चय \(\binom{5}{2}=10\) होंगे। पहले पूरक समुच्चय निकालें फिर संयोजन लगाएं।
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