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In the arrangements of the letters of (BANANA), how many have both (N)s together?शब्द (BANANA) के अक्षरों से बनने वाली व्यवस्थाओं में दोनों (N) साथ-साथ हों, ऐसी व्यवस्थाओं की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (20)(20)
Treat the two (N)s as one block; among (5) units, (A) repeats (3) times, so the count is (\frac{5!}{3!}). Track both blocks and repeated letters.दो (N) को एक ब्लॉक मानने पर (5) इकाइयों में (A) तीन बार है, इसलिए (\frac{5!}{3!}) है। समान अक्षर और ब्लॉक दोनों का ध्यान रखें।
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