यदि \(A=\{p,q,r,s,t,u\}\) है, तो (A) के ऐसे कितने उपसमुच्चय हैं जिनमें कम से कम (5) तत्व हों?

If \(A=\{p,q,r,s,t,u\}\), how many subsets of (A) contain at least (5) elements?

Explanation opens after your attempt
Correct Answer

B. (7)

Step 1

Concept

At least (5) means (5) or (6) elements. The number is \(\binom{6}{5}+\binom{6}{6}=6+1=7\).

Step 2

Why this answer is correct

The correct answer is B. (7). At least (5) means (5) or (6) elements. The number is \(\binom{6}{5}+\binom{6}{6}=6+1=7\).

Step 3

Exam Tip

कम से कम (5) का अर्थ (5) या (6) तत्व है। संख्या \(\binom{6}{5}+\binom{6}{6}=6+1=7\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{p,q,r,s,t,u\}\) है, तो (A) के ऐसे कितने उपसमुच्चय हैं जिनमें कम से कम (5) तत्व हों? / If \(A=\{p,q,r,s,t,u\}\), how many subsets of (A) contain at least (5) elements?

Correct Answer: B. (7). Explanation: कम से कम (5) का अर्थ (5) या (6) तत्व है। संख्या \(\binom{6}{5}+\binom{6}{6}=6+1=7\) है। / At least (5) means (5) or (6) elements. The number is \(\binom{6}{5}+\binom{6}{6}=6+1=7\).

Which concept should I revise for this Mathematics MCQ?

At least (5) means (5) or (6) elements. The number is \(\binom{6}{5}+\binom{6}{6}=6+1=7\).

What exam hint can help solve this Mathematics question?

कम से कम (5) का अर्थ (5) या (6) तत्व है। संख्या \(\binom{6}{5}+\binom{6}{6}=6+1=7\) है।