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(5) distinct Indian and (5) distinct foreign students are seated in a row. If they sit alternately by nationality, how many arrangements are possible?(5) अलग-अलग भारतीय और (5) अलग-अलग विदेशी छात्रों को पंक्ति में बैठाना है। वे nationality के अनुसार alternate बैठें, तो व्यवस्थाओं की संख्या कितनी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (28800)(28800)
There are (2) alternate patterns, and in each pattern Indians can be arranged in (5!) ways and foreigners in (5!) ways. Exam tip: equal groups in alternate arrangement give (2) patterns.दो alternate patterns संभव हैं और प्रत्येक में भारतीय (5!) तथा विदेशी (5!) तरीकों से बैठते हैं। परीक्षा में बराबर समूहों के alternate arrangement में (2) patterns होते हैं।
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