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disjoint-committees MCQ Questions for Class 11

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1 questions tagged with disjoint-committees.

Question 1/1 Expert Mathematics Permutations and Combinations Combinations Class 11 Level 61

(10) व्यक्तियों में से पहले (3) सदस्य वाली समिति और फिर बचे लोगों में से (4) सदस्य वाली अलग नामित समिति बनानी है। कुल तरीके कितने हैं?

From (10) persons, first a named committee of (3) members and then a different named committee of (4) members from the remaining persons are formed. How many ways are possible?

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Correct Answer

C. (4200)

Step 1

Concept

The first committee can be formed in \( \binom{10}{3} \) ways and the second in \( \binom{7}{4} \) ways, giving (4200). For named committees, the stages matter.

Step 2

Why this answer is correct

The correct answer is C. (4200). The first committee can be formed in \( \binom{10}{3} \) ways and the second in \( \binom{7}{4} \) ways, giving (4200). For named committees, the stages matter.

Step 3

Exam Tip

पहली समिति \( \binom{10}{3} \) और दूसरी \( \binom{7}{4} \) तरीकों से बनेगी, कुल (4200) है। नामित समितियों में चरणों का क्रम महत्त्व रखता है।

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