FormulaCraft

PERMUT

PERMUT calculates the number of ways to arrange k items selected from a pool of n when the order of selection matters. Unlike COMBIN, different orderings count as distinct outcomes. The result equals FACT(n) / FACT(n-k).

Excel
=PERMUT(A2,B2)
Google Sheets
=PERMUT(A2,B2)

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How it works

  1. 1A2 is the total number of items n (e.g. 10 contestants).
  2. 2B2 is how many to arrange k (e.g. 3 for gold/silver/bronze).
  3. 3PERMUT(10,3) = 720 because there are 720 ordered ways to assign 3 ranks from 10 contestants.

Need a version for your data?

Try: “How many ordered arrangements of 3 winners from 10 contestants are possible?

Related

Written and reviewed by FormulaCraft Team. Each formula on this page is run through our verification engine before publishing.

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