Hard Mathematics Sets Class 11 Level 9

यदि \(A=\{a,b,c,d,e\}\), तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (a) हो, (c) न हो और ठीक 3 अवयव हों?

If \(A=\{a,b,c,d,e\}\), how many subsets contain (a), do not contain (c), and have exactly 3 elements?

Explanation opens after your attempt
Correct Answer

B. 3

Step 1

Concept

(a) is fixed and (c) is excluded, so choose 2 from (b,d,e). The number is \(\binom{3}{2}=3\).

Step 2

Why this answer is correct

The correct answer is B. 3. (a) is fixed and (c) is excluded, so choose 2 from (b,d,e). The number is \(\binom{3}{2}=3\).

Step 3

Exam Tip

(a) निश्चित है और (c) हटाया गया है, इसलिए (b,d,e) में से 2 चुनने हैं। संख्या \(\binom{3}{2}=3\) है।

FAQs

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. 3.

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