(18) विद्यार्थियों में से (7) चुनने हैं ताकि (5) विशेष विद्यार्थियों में से कोई भी शामिल न हो। कितने तरीके हैं?

From (18) students (7) are to be selected so that none of (5) special students is included. How many ways are there?

Explanation opens after your attempt
Correct Answer

B. (1716)

Step 1

Concept

After removing (5) special students (13) students remain. Hence there are \(\binom{13}{7}=1716\) ways.

Step 2

Why this answer is correct

The correct answer is B. (1716). After removing (5) special students (13) students remain. Hence there are \(\binom{13}{7}=1716\) ways.

Step 3

Exam Tip

(5) विशेष विद्यार्थियों को हटाने पर (13) विद्यार्थी बचते हैं। इसलिए \(\binom{13}{7}=1716\) तरीके हैं।

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Mathematics Answer, Explanation and Revision Hints

(18) विद्यार्थियों में से (7) चुनने हैं ताकि (5) विशेष विद्यार्थियों में से कोई भी शामिल न हो। कितने तरीके हैं? / From (18) students (7) are to be selected so that none of (5) special students is included. How many ways are there?

Correct Answer: B. (1716). Explanation: (5) विशेष विद्यार्थियों को हटाने पर (13) विद्यार्थी बचते हैं। इसलिए \(\binom{13}{7}=1716\) तरीके हैं। / After removing (5) special students (13) students remain. Hence there are \(\binom{13}{7}=1716\) ways.

Which concept should I revise for this Mathematics MCQ?

After removing (5) special students (13) students remain. Hence there are \(\binom{13}{7}=1716\) ways.

What exam hint can help solve this Mathematics question?

(5) विशेष विद्यार्थियों को हटाने पर (13) विद्यार्थी बचते हैं। इसलिए \(\binom{13}{7}=1716\) तरीके हैं।