In how many ways can 7 students and 4 teachers be seated in a row such

1.	In how many ways can 7 students and 4 teachers be seated in a row such that no two teachers ar together.
Answer» Since no two teachers are together and teachers must be seated in between students. 7 students can be permuted in 7! way, there are 8 places in which the 4 teachers can be seated in ⁸P₄ ways. ∴ Total ways is 7! × ⁸P₄

In how many ways can 7 students and 4 teachers be seated in a row such that no two teachers ar together.

Answer»

Since no two teachers are together and teachers must be seated in between students. 7 students can be permuted in 7! way, there are 8 places in which the 4 teachers can be seated in ⁸P₄ ways.

∴ Total ways is 7! × ⁸P₄

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In how many ways can 7 students and 4 teachers be seated in a row such that no two teachers ar together.

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