(14) प्रश्नों में से (8) प्रश्न चुनने हैं और अंतिम (6) प्रश्नों में से कम से कम (4) प्रश्न चुनने हैं। कितने चयन होंगे?

From (14) questions (8) are to be selected and at least (4) of the last (6) questions must be selected. How many selections are there?

Explanation opens after your attempt
Correct Answer

B. (1414)

Step 1

Concept

You can choose (4), (5), or (6) from the last (6) questions. The total is \(\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414\).

Step 2

Why this answer is correct

The correct answer is B. (1414). You can choose (4), (5), or (6) from the last (6) questions. The total is \(\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414\).

Step 3

Exam Tip

अंतिम (6) में से (4), (5) या (6) प्रश्न चुने जा सकते हैं। कुल \(\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414\) है।

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Mathematics Answer, Explanation and Revision Hints

(14) प्रश्नों में से (8) प्रश्न चुनने हैं और अंतिम (6) प्रश्नों में से कम से कम (4) प्रश्न चुनने हैं। कितने चयन होंगे? / From (14) questions (8) are to be selected and at least (4) of the last (6) questions must be selected. How many selections are there?

Correct Answer: B. (1414). Explanation: अंतिम (6) में से (4), (5) या (6) प्रश्न चुने जा सकते हैं। कुल \(\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414\) है। / You can choose (4), (5), or (6) from the last (6) questions. The total is \(\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414\).

Which concept should I revise for this Mathematics MCQ?

You can choose (4), (5), or (6) from the last (6) questions. The total is \(\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414\).

What exam hint can help solve this Mathematics question?

अंतिम (6) में से (4), (5) या (6) प्रश्न चुने जा सकते हैं। कुल \(\binom{6}{4}\binom{8}{4}+\binom{6}{5}\binom{8}{3}+\binom{6}{6}\binom{8}{2}=1414\) है।