यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में (3) तत्वों वाले subsets में से कितने (1) को नहीं रखते?

If \(A=\{1,2,3,4,5,6\}\), among the (3)-element subsets in (\mathcal{P}(A)), how many do not contain (1)?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

After removing (1), (5) elements remain and (3) must be chosen: \(\binom{5}{3}=10\). In exams, remove the excluded element first.

Step 2

Why this answer is correct

The correct answer is A. (10). After removing (1), (5) elements remain and (3) must be chosen: \(\binom{5}{3}=10\). In exams, remove the excluded element first.

Step 3

Exam Tip

(1) हटाने पर (5) तत्व बचते हैं, जिनमें से (3) चुनने हैं: \(\binom{5}{3}=10\)। परीक्षा में excluded element को पहले हटा दें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6\}\) है, तो (\mathcal{P}(A)) में (3) तत्वों वाले subsets में से कितने (1) को नहीं रखते? / If \(A=\{1,2,3,4,5,6\}\), among the (3)-element subsets in (\mathcal{P}(A)), how many do not contain (1)?

Correct Answer: A. (10). Explanation: (1) हटाने पर (5) तत्व बचते हैं, जिनमें से (3) चुनने हैं: \(\binom{5}{3}=10\)। परीक्षा में excluded element को पहले हटा दें। / After removing (1), (5) elements remain and (3) must be chosen: \(\binom{5}{3}=10\). In exams, remove the excluded element first.

Which concept should I revise for this Mathematics MCQ?

After removing (1), (5) elements remain and (3) must be chosen: \(\binom{5}{3}=10\). In exams, remove the excluded element first.

What exam hint can help solve this Mathematics question?

(1) हटाने पर (5) तत्व बचते हैं, जिनमें से (3) चुनने हैं: \(\binom{5}{3}=10\)। परीक्षा में excluded element को पहले हटा दें।