Math Fundamentals18 sections · 814 units
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Permutations with Repetition Formula

(n^r arrangements)

If you have n choices and pick r times with replacement, the count is n^r.

Each of the r positions has n independent choices.

Example: 4 colors, pick 5 times (colors can repeat). Arrangements = 4^5 = 1024.

This grows faster than P(n,r) when repetition is allowed.