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There are six teachers. Out of them two ...

There are six teachers. Out of them two are primary teacher, two are middle teachers, and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teacher, and secondary teachers are always in a set. Find the number of ways in which they can do so.

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The correct Answer is:
48
There are 2 primary teachers. They can stand in a row together in 2!=2 ways.
There are 2 middle teachers. They can stand in a row together in 2!=2 ways.
There are 2 secondary teachers. They can stand in a row together in 2!=2 ways.
These three sets can be arranged in 3!=6 ways
Hence, the required number of ways `=2xx2xx2xx6=48`
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