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A password has (5) distinct letters. They are to be arranged so that exactly (2) letters lie between two particular letters. How many arrangements are possible?एक पासवाक्य में (5) अलग अक्षर हैं। इसे ऐसे सजाना है कि (2) निश्चित अक्षरों के बीच ठीक (2) अक्षर आएँ। कुल कितनी व्यवस्थाएँ होंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (36)(36)
The two particular letters can occupy positions ((1,4)) or ((2,5)), and their internal order has (2!) ways. The remaining (3) letters are arranged in (3!) ways.दो निश्चित अक्षरों के स्थान ((1,4)) या ((2,5)) हो सकते हैं और उनका आपसी क्रम (2!) तरीकों से होगा। शेष (3) अक्षर (3!) तरीकों से सजेंगे।
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