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Home » A: They will suppress all emotional reactions - jntua results

A: They will suppress all emotional reactions - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 إذن، العدد الإجمالي للتركيبات الممكنة هو \(\boxed{280}\).

📌 سؤال: يتضمن مسابقة الرقص 7 راقصين، ويحتاجون إلى تشكيل صف لعرض. إذا كان العازف والراقصة التجميلية لا يجوز أن يقفا بجانب بعضهما البعض، فكم عدد التشكيلات المختلفة التي يمكن ترتيبها؟

📌 الحل: أولاً، نحسب إجمالي عدد التشكيلات غير المقيدة لـ 7 راقصين، وهو \(7!\):

📌 بعد ذلك، نأخذ في الاعتبار الترتيبات التي يقف فيها العازف والراقصة التجميلية بجانب بعضهما البعض. نتعامل معهما كوحدة "واحدة"، مما يقلل المشكلة إلى ترتيب 6 "وحدات" (5 راقصين آخرين + الزوج). إذا كان العازف والراقصة التجميلية كوحدة، فيمكن ترتيبهما بـ \(2!\) طريقة:

📌 6! \times 2! = 720 \times 2 = 1440

📌 - 1440 = 3600

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