(12) सदस्यों में से (5) सदस्यों की समिति बनानी है जिसमें (2) निश्चित सदस्य अवश्य शामिल हों। कितने तरीके होंगे?

A committee of (5) members is to be formed from (12) members with (2) fixed members included. How many ways are possible?

Explanation opens after your attempt
Correct Answer

A. (120)

Step 1

Concept

The (2) members are fixed so the remaining (3) are chosen from (10). Hence \(\binom{10}{3}=120\).

Step 2

Why this answer is correct

The correct answer is A. (120). The (2) members are fixed so the remaining (3) are chosen from (10). Hence \(\binom{10}{3}=120\).

Step 3

Exam Tip

(2) सदस्य तय हैं इसलिए बाकी (3) सदस्य (10) में से चुने जाएंगे। अतः \(\binom{10}{3}=120\) होगा।

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Mathematics Answer, Explanation and Revision Hints

(12) सदस्यों में से (5) सदस्यों की समिति बनानी है जिसमें (2) निश्चित सदस्य अवश्य शामिल हों। कितने तरीके होंगे? / A committee of (5) members is to be formed from (12) members with (2) fixed members included. How many ways are possible?

Correct Answer: A. (120). Explanation: (2) सदस्य तय हैं इसलिए बाकी (3) सदस्य (10) में से चुने जाएंगे। अतः \(\binom{10}{3}=120\) होगा। / The (2) members are fixed so the remaining (3) are chosen from (10). Hence \(\binom{10}{3}=120\).

Which concept should I revise for this Mathematics MCQ?

The (2) members are fixed so the remaining (3) are chosen from (10). Hence \(\binom{10}{3}=120\).

What exam hint can help solve this Mathematics question?

(2) सदस्य तय हैं इसलिए बाकी (3) सदस्य (10) में से चुने जाएंगे। अतः \(\binom{10}{3}=120\) होगा।