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Home » "Water Weakness Exposed: How This Hidden Flaw Ruins Your Hydration Game! - Dyverse

"Water Weakness Exposed: How This Hidden Flaw Ruins Your Hydration Game! - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \frac{9}{41}

📌 \boxed{\frac{9}{41}}

📌 \]سؤال: يقدم محل بيع الحلويات 8 نكهات من الكعكات الصغيرة و 5 أنواع من الصوص. كم عدد التركيبات المختلفة من 3 نكهات من الكعكات الصغيرة ونوع واحد من الصوص التي يمكن للزبون تحديدها لطلبهم؟

📌 الحل: لحساب هذا، نحدد أولاً عدد الطرق لاختيار 3 نكهات من بين 8 نكهات متاحة من الكعكات الصغيرة. ما يُعطى بمعامل ذات الحدين \(\binom{8}{3}\)، الذي يُحسب كالتالي:

📌 \binom{8}{3} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = 56

📌 بعد ذلك، نحتاج إلى اختيار نوع واحد من 5 أنواع متاحة من الصوص، ويمكن القيام بهذا الاختيار ببساطة بـ \(\binom{5}{1} = 5\) طرق.

📌 إجمالي عدد التركيبات من 3 نكهات من الكعكات الصغيرة ونوع واحد من الصوص هو حاصل ضرب هذه الاختيارات:

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

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