यदि \(A=\{a,b,c,d,e\}\), तो (P(A)) के कितने अवयव (a) और (b) दोनों को शामिल करते हैं?

If \(A=\{a,b,c,d,e\}\), how many elements of (P(A)) contain both (a) and (b)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

(a,b) are fixed, and the remaining (3) elements have \(2^3=8\) choices. When both are compulsory, place them first.

Step 2

Why this answer is correct

The correct answer is B. (8). (a,b) are fixed, and the remaining (3) elements have \(2^3=8\) choices. When both are compulsory, place them first.

Step 3

Exam Tip

(a,b) स्थिर हैं और शेष (3) अवयवों के \(2^3=8\) चयन हो सकते हैं। दोनों अनिवार्य हों तो उन्हें पहले रख लें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{a,b,c,d,e\}\), तो (P(A)) के कितने अवयव (a) और (b) दोनों को शामिल करते हैं? / If \(A=\{a,b,c,d,e\}\), how many elements of (P(A)) contain both (a) and (b)?

Correct Answer: B. (8). Explanation: (a,b) स्थिर हैं और शेष (3) अवयवों के \(2^3=8\) चयन हो सकते हैं। दोनों अनिवार्य हों तो उन्हें पहले रख लें। / (a,b) are fixed, and the remaining (3) elements have \(2^3=8\) choices. When both are compulsory, place them first.

Which concept should I revise for this Mathematics MCQ?

(a,b) are fixed, and the remaining (3) elements have \(2^3=8\) choices. When both are compulsory, place them first.

What exam hint can help solve this Mathematics question?

(a,b) स्थिर हैं और शेष (3) अवयवों के \(2^3=8\) चयन हो सकते हैं। दोनों अनिवार्य हों तो उन्हें पहले रख लें।