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(7) distinct students are to be seated in a row. If two particular students sit together and a third particular student is not at either end, how many arrangements are possible?(7) अलग-अलग छात्रों को एक पंक्ति में बैठाना है। दो विशेष छात्र साथ हों और तीसरा विशेष छात्र किसी सिरे पर न हो, तो कितनी व्यवस्थाएं होंगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1200)(1200)
Treat the two students as a block, count (6!\cdot2!) together arrangements and subtract cases where the third is at an end. The answer is (1200).दो छात्रों को ब्लॉक मानकर पहले साथ वाली (6!\cdot2!) व्यवस्थाएं लें और तीसरे के end cases घटाएं। उत्तर (1200) है।
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