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There are six teachers. Out of them, two teach Physics, other two teach Chemistry and the rest two teach Mathematics. They have to stand in a row such that Physics, Chemistry and Mathematics teachers are always in a set. The number of ways in which they can do, is:

There are six teachers. Out of them, two teach Physics, other two teach Chemistry and the rest two teach Mathematics. They have to stand in a row such that Physics, Chemistry and Mathematics teachers are always in a set. The number of ways in which they can do, is: Correct Answer 48

Calculation:

2 Physics teacher can be arranged in 2! = 2 ways

2 Chemistry teacher can be arranged in 2! = 2 ways

2 Mathematics teacher can be arranged in 2! = 2 ways

Physics, Chemistry and Mathematics teachers are always in a set

⇒ These set with 3 elements (Consider each subject as an element) can be arranged in 3! = 3 × 2 × 1 = 6 ways

Total number of ways they can stand = 2 × 2 × 2 × 6 = 48

∴ The total number of ways they can stand is 48.

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