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There are twenty students in your class and eight teachers teach you. A photograph of your class is to be taken with your teachers and principal in such a way that all teachers and principal sit in the first row and all students stand in second row. If the middle seat of the first row is reserved for the principal and the two corners of the second row and reserved for two tallest students interchangeable only between them, then how many seating arrangements are possible?

There are twenty students in your class and eight teachers teach you. A photograph of your class is to be
taken with your teachers and principal in such a way that all teachers and principal sit in the first row and
all students stand in second row. If the middle seat of the first row is reserved for the principal and the two
corners of the second row and reserved for two tallest students interchangeable only between them, then
how many seating arrangements are possible? 

Grade:12

2 Answers

Ankit Jaiswal
165 Points
7 years ago
there are nine seats in the first row with one fixed for the principal so the number of ways are 8!
in the second row there are 20 places for the students with the 2 ends fixed which can be interchanged so the possible ways are 18!*2!
so the total numbers of seating arrangements possible are 8!*18!*2!=516287415629905920000
manmath
49 Points
7 years ago
hii friend,
here are nine seats in the first row with one fixed for the principal so the number of ways are 8! in the second row there are 20 places for the students with the 2 ends fixed which can be ...

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