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The number of permutation of n different...

The number of permutation of n different objects, taken r at a line, when repetitions are allowed, is …….. .

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To find the number of permutations of \( n \) different objects taken \( r \) at a time when repetitions are allowed, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We are asked to find the number of ways to arrange \( r \) objects selected from \( n \) different objects, where each object can be chosen more than once (repetitions allowed). 2. **Identify the Choices**: Since repetitions are allowed, for each of the \( r \) positions in our arrangement, we can choose any of the \( n \) objects. ...
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