(8) पुरुषों और (6) महिलाओं में से (6) सदस्यों की समिति बनानी है जिसमें ठीक (3) महिलाएँ हों। समिति बनने के बाद अध्यक्ष और सचिव अलग-अलग चुने जाते हैं। कुल कितने तरीके होंगे?
From (8) men and (6) women, a committee of (6) members is to be formed with exactly (3) women. After forming the committee, a chairperson and a secretary are chosen distinctly. How many ways are possible?
Explanation opens after your attempt
C. (33600)
Concept
First form the committee in \(\binom{8}{3}\binom{6}{3}\) ways, then choose (2) distinct posts from (6) members in order. Committee selection and post selection are separate stages.
Why this answer is correct
The correct answer is C. (33600). First form the committee in \(\binom{8}{3}\binom{6}{3}\) ways, then choose (2) distinct posts from (6) members in order. Committee selection and post selection are separate stages.
Exam Tip
पहले समिति \(\binom{8}{3}\binom{6}{3}\) तरीकों से बनती है, फिर (6) में से (2) पद क्रम सहित चुने जाते हैं। समिति चयन और पद चयन अलग चरण हैं।
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