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What is the number of arrangements of (12) objects if (4) are identical of one kind, (3) are identical of another kind, (2) are identical of a third kind, and the rest are distinct?(12) वस्तुओं की व्यवस्थाओं की संख्या क्या होगी यदि उनमें (4) एक जैसी, (3) एक जैसी और (2) एक जैसी वस्तुएं हों तथा बाकी अलग हों?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1663200)(1663200)
The number of arrangements is (12!/(4!3!2!)). Divide by the factorial of each group of identical objects.व्यवस्थाओं की संख्या (12!/(4!3!2!)) होगी। समान वस्तुओं के हर समूह के फैक्टोरियल से भाग देना चाहिए।
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