यदि \(A=\{1,2,3,4,5\}\) है तो (A) के (2) अवयवों वाले ऐसे उपसमुच्चयों की संख्या क्या है जिनमें (5) न हो?

If \(A=\{1,2,3,4,5\}\) then how many two element subsets of (A) do not contain (5)?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

Exclude (5) and choose (2) elements from (1,2,3,4). The count is \(\binom{4}{2}=6\).

Step 2

Why this answer is correct

The correct answer is B. (6). Exclude (5) and choose (2) elements from (1,2,3,4). The count is \(\binom{4}{2}=6\).

Step 3

Exam Tip

(5) को हटाकर (1,2,3,4) में से (2) अवयव चुनने हैं। संख्या \(\binom{4}{2}=6\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5\}\) है तो (A) के (2) अवयवों वाले ऐसे उपसमुच्चयों की संख्या क्या है जिनमें (5) न हो? / If \(A=\{1,2,3,4,5\}\) then how many two element subsets of (A) do not contain (5)?

Correct Answer: B. (6). Explanation: (5) को हटाकर (1,2,3,4) में से (2) अवयव चुनने हैं। संख्या \(\binom{4}{2}=6\) है। / Exclude (5) and choose (2) elements from (1,2,3,4). The count is \(\binom{4}{2}=6\).

Which concept should I revise for this Mathematics MCQ?

Exclude (5) and choose (2) elements from (1,2,3,4). The count is \(\binom{4}{2}=6\).

What exam hint can help solve this Mathematics question?

(5) को हटाकर (1,2,3,4) में से (2) अवयव चुनने हैं। संख्या \(\binom{4}{2}=6\) है।