यदि \(A=\{a,b,c,d,e\}\) है, तो (A) के ऐसे कितने उपसमुच्चय हैं जिनमें कम से कम (4) तत्व हों?

If \(A=\{a,b,c,d,e\}\), how many subsets of (A) contain at least (4) elements?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

At least (4) elements means (4) or (5) elements. The number is \(\binom{5}{4}+\binom{5}{5}=5+1=6\).

Step 2

Why this answer is correct

The correct answer is B. (6). At least (4) elements means (4) or (5) elements. The number is \(\binom{5}{4}+\binom{5}{5}=5+1=6\).

Step 3

Exam Tip

कम से कम (4) तत्व का अर्थ (4) या (5) तत्व है। संख्या \(\binom{5}{4}+\binom{5}{5}=5+1=6\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{a,b,c,d,e\}\) है, तो (A) के ऐसे कितने उपसमुच्चय हैं जिनमें कम से कम (4) तत्व हों? / If \(A=\{a,b,c,d,e\}\), how many subsets of (A) contain at least (4) elements?

Correct Answer: B. (6). Explanation: कम से कम (4) तत्व का अर्थ (4) या (5) तत्व है। संख्या \(\binom{5}{4}+\binom{5}{5}=5+1=6\) है। / At least (4) elements means (4) or (5) elements. The number is \(\binom{5}{4}+\binom{5}{5}=5+1=6\).

Which concept should I revise for this Mathematics MCQ?

At least (4) elements means (4) or (5) elements. The number is \(\binom{5}{4}+\binom{5}{5}=5+1=6\).

What exam hint can help solve this Mathematics question?

कम से कम (4) तत्व का अर्थ (4) या (5) तत्व है। संख्या \(\binom{5}{4}+\binom{5}{5}=5+1=6\) है।