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When a group photograph is taken, all th...

When a group photograph is taken, all the seven teachers should be in the first row and all the twenty students should be in the second row. If the two corners of the second row are reserved for the two tallest students, interchangeable only between them, and if the middle seat of the front row is reserved for the Principal, how many arrangements are possible?

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1) Middle seat of the first row is reserved for principal.
Thus, number of combinations for middle seat of first row = 1
2) Remaining 6 seats of first row are reserved for 6 teachers.
Thus, number of combinations will be `.^6P​6`​=6!
3) In the second row, corner 2 seats are reserved for 2 tallest students.
Thus, number of combinations = 2!
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