(9) सदस्यों में से (3) सदस्यों की समिति बनानी है जिसमें एक निश्चित सदस्य शामिल न हो। कितने तरीके हैं?

A committee of (3) members is to be formed from (9) members excluding one fixed member. How many ways are there?

Explanation opens after your attempt
Correct Answer

A. (56)

Step 1

Concept

After excluding one member, (8) members remain. Therefore there are \(\binom{8}{3}=56\) ways.

Step 2

Why this answer is correct

The correct answer is A. (56). After excluding one member, (8) members remain. Therefore there are \(\binom{8}{3}=56\) ways.

Step 3

Exam Tip

एक सदस्य हटाने पर (8) सदस्य बचते हैं। इसलिए \(\binom{8}{3}=56\) तरीके हैं।

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Mathematics Answer, Explanation and Revision Hints

(9) सदस्यों में से (3) सदस्यों की समिति बनानी है जिसमें एक निश्चित सदस्य शामिल न हो। कितने तरीके हैं? / A committee of (3) members is to be formed from (9) members excluding one fixed member. How many ways are there?

Correct Answer: A. (56). Explanation: एक सदस्य हटाने पर (8) सदस्य बचते हैं। इसलिए \(\binom{8}{3}=56\) तरीके हैं। / After excluding one member, (8) members remain. Therefore there are \(\binom{8}{3}=56\) ways.

Which concept should I revise for this Mathematics MCQ?

After excluding one member, (8) members remain. Therefore there are \(\binom{8}{3}=56\) ways.

What exam hint can help solve this Mathematics question?

एक सदस्य हटाने पर (8) सदस्य बचते हैं। इसलिए \(\binom{8}{3}=56\) तरीके हैं।