किस स्थिति में व्यवस्थाओं का सूत्र \(\frac{n!}{p!q!}\) उपयोग होगा?

In which situation is the arrangement formula \(\frac{n!}{p!q!}\) used?

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Correct Answer

B. जब दो प्रकार की वस्तुएँ क्रमशः (p) और (q) बार समान होंWhen two types of objects are identical (p) and (q) times respectively

Step 1

Concept

Interchanges inside two identical groups are not counted separately so we divide by (p!q!). In exams place the factorial of each repeated group in the denominator.

Step 2

Why this answer is correct

The correct answer is B. जब दो प्रकार की वस्तुएँ क्रमशः (p) और (q) बार समान हों / When two types of objects are identical (p) and (q) times respectively. Interchanges inside two identical groups are not counted separately so we divide by (p!q!). In exams place the factorial of each repeated group in the denominator.

Step 3

Exam Tip

दो समानता समूहों की अदला-बदली अलग नहीं गिनी जाती इसलिए (p!q!) से भाग देते हैं। परीक्षा में हर repeated group का factorial हर में रखें।

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Mathematics Answer, Explanation and Revision Hints

किस स्थिति में व्यवस्थाओं का सूत्र \(\frac{n!}{p!q!}\) उपयोग होगा? / In which situation is the arrangement formula \(\frac{n!}{p!q!}\) used?

Correct Answer: B. जब दो प्रकार की वस्तुएँ क्रमशः (p) और (q) बार समान हों / When two types of objects are identical (p) and (q) times respectively. Explanation: दो समानता समूहों की अदला-बदली अलग नहीं गिनी जाती इसलिए (p!q!) से भाग देते हैं। परीक्षा में हर repeated group का factorial हर में रखें। / Interchanges inside two identical groups are not counted separately so we divide by (p!q!). In exams place the factorial of each repeated group in the denominator.

Which concept should I revise for this Mathematics MCQ?

Interchanges inside two identical groups are not counted separately so we divide by (p!q!). In exams place the factorial of each repeated group in the denominator.

What exam hint can help solve this Mathematics question?

दो समानता समूहों की अदला-बदली अलग नहीं गिनी जाती इसलिए (p!q!) से भाग देते हैं। परीक्षा में हर repeated group का factorial हर में रखें।