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Home » Discover the Ultimate Coffee Truck Experience—SIP So Good It’s Cracks the Internet! - Aurero

Discover the Ultimate Coffee Truck Experience—SIP So Good It’s Cracks the Internet! - Aurero

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 6! \times 2! = 720 \times 2 = 1440

📌 - 1440 = 3600

📌 إذن، عدد التشكيلات التي لا يكون فيها العازف والراقصة التجميلية بجانب بعضهما البعض هو \(\boxed{3600}\).

📌 سؤال: لدى مكتبة 9 كتب تطورية مختلفة و 4 قصص خيالية (روايات) مختلفة. يريد العميل اختيار 4 كتب تطورية وروايتين للقراءة. كم عدد التركيبات المختلفة من الكتب يمكن للعميل اختيارها؟

📌 الحل: أولاً، نحسب عدد الطرق لاختيار 4 كتب تطورية من 9 متاحة. يُعطى هذا بواسطة معامل ذات الحدين \(\binom{9}{4}\):

📌 \binom{9}{4} = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} = 126

📌 بعد ذلك، نحسب عدد الطرق لاختيار 2 رواية خيالية من 4 متاحة، ويمكن حسابه كـ \(\binom{4}{2}\):

📌 \binom{4}{2} = \frac{4 \times 3}{2 \times 1} = 6

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