Quick questions on The multiplication principle and ordered selections: counting in stages, n^r with repetition, nPr without repetition, and restriction techniques

1short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is ordered selections WITH repetition?

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Now narrow to the most common kind of staged choice: you build an ordered arrangement of

r

positions, and at every position you may pick any of the same

n

objects, repeats allowed. Because choosing an object never removes it from the pool, every one of the

r

boxes keeps all

n

choices, and the multiplication principle gives

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