In how many ways can 5 children the arranged in a row such that two of them, Ram and Shyam, are always together? two of them, Ram and Shyam, are never together?

Explanation

To solve the problem of arranging 5 children in a row such that Ram and Shyam are either always together or never together, we can break it down into two parts.

### Part 1: Ram and Shyam are always together

1. **Consider Ram and Shyam as a single unit**: Since Ram and Shyam must be together, we can treat them as one single entity or unit. This means instead of arranging 5 individual children, we are now arranging 4 units: (Ram & Shyam), Child 3, Child 4, and Child 5.

2. **Calculate the arrangements of the units**: The number of ways to arrange these 4 units is given by \(4!\) (4 factorial).
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