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In arrangements of the letters of (MATHEMATICS), how many have both (M)'s together?शब्द (MATHEMATICS) के अक्षरों की व्यवस्थाओं में दोनों (M) साथ हों, ऐसी व्यवस्थाओं की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (907200)(907200)
Treat (MM) as one block; now there are (10) objects with (A) and (T) repeated twice, so the count is (\frac{10!}{2!,2!}). Exam tip: after blocking, do not forget remaining repetitions.(MM) को एक खंड मानें; अब (10) वस्तुओं में (A) और (T) दो-दो बार हैं, इसलिए संख्या (\frac{10!}{2!,2!}) है। परीक्षा में खंड बनाने के बाद शेष पुनरावृत्ति न भूलें।
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