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  • A class has three teachers, Mr. X, Ms. Y and Mrs. Z and six students A, B, C, D, E, F. Number of ways in which they can be seated in a line of 9 chairs, if between any two teachers there are exactl

A class has three teachers, Mr. X, Ms. Y and Mrs. Z and six students A, B, C, D, E, F. Number of ways in which they can be seated in a line of 9 chairs, if between any two teachers there are exactly two students is

Option: 1

18 \times 6 !


Option: 2

12 \times 6 !


Option: 3

24 \times 6 !

 


Option: 4

6 \times 6 !


Answers (1)

best_answer

(a) The possible arrangements of teachers and students can be as follows:

(i) T S S T S S T S S
(ii) S T S S T S S T S
(iii) S S TS S T S S T

Hence, total number of ways =3 \cdot(3 !) 6 !=(18) 6 !

Posted by

Divya Prakash Singh

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