Formulas for

Permutations & Combinations

Math/Calculations1 credit/cellSheets · Excel
=VERVE("permutationcombination", 10, 3, "field", "permutation")

Compute nPr and nCr from a cell. Returns both P(n,r) and C(n,r) — Google Sheets or Excel.

It's one of 250+ live sources you reach with a single =VERVE() function — served from APIVerve's production data engine, billed at 1 credit per resolved cell, and refreshed on whatever cadence you set. No API keys to wrangle, no scripts, no exports.

A real example — the input you type, and the values you can pull from it. Click any cell to see the formula behind it.

permutationcombination.xlsxsample data
C2fx=VERVE("permutationcombination", A2, B2, "field", "permutation")
A
B
C
D
E
1
N
R
Permutation
Combination
Formulas › Permutation
2
10
3
720
120
P(n,r) = n! / (n-r)!
3
4
click any cell to see its formula1 credit / cell

One value per row

Fill =VERVE("permutationcombination", 10, 3, "field", "permutation") down a column and Permutations & Combinations returns a result for every row — a batch of live values in a single drag, no code.

Enrich data in place

Add Permutations & Combinations beside a table you already have to append its output right where your data lives, then sort, filter, or chart on it.

Stays fresh on its own

Set the sheet to refresh on a schedule and the permutations & combinations values keep themselves current without anyone re-typing.

The same function works in both apps — install once, sign in with your key, and type it into any cell.

Google SheetsAdd-on

Install from the Workspace Marketplace, then drop the formula into a cell. Autocomplete suggests the source and its fields.

=VERVE("permutationcombination", 10, 3, "field", "permutation")
Microsoft ExcelAdd-in

Same source, same arguments, same key — in Excel on desktop, the web, or mobile. Excel namespaces it as VERVE.CALL. Drag to fill a whole column.

=VERVE.CALL("permutationcombination", 10, 3, "field", "permutation")

Add a field name as the last argument to land just that value in the cell.

  • Permutation
    =VERVE("permutationcombination", 10, 3, "field", "permutation")
  • Combination
    =VERVE("permutationcombination", 10, 3, "field", "combination")
  • FormulasPremium
    =VERVE("permutationcombination", 10, 3, "field", "formulas")
  • Formulas › PermutationPremium
    =VERVE("permutationcombination", 10, 3, "field", "formulas.permutation")
  • Formulas › CombinationPremium
    =VERVE("permutationcombination", 10, 3, "field", "formulas.combination")
  • N
    =VERVE("permutationcombination", 10, 3, "field", "n")
  • R
    =VERVE("permutationcombination", 10, 3, "field", "r")

Premium marks data included on paid plans. On the Free plan a marked field is withheld and a marked input is ignored — either way the cell reads #PREMIUM(name) instead of a value, so a gated answer can never be mistaken for a real one. Everything unmarked works on every plan. Compare plans

Permutations & Combinations, answered

Everything you need to wire it into a sheet.

How do I pull Permutations & Combinations into Google Sheets?
Install the VerveSheets add-on, sign in once with your key, and type =VERVE("permutationcombination", 10, 3, "field", "permutation") into any cell. The "field" argument names the value you want back, so the cell resolves to a single number or string you can chart, sort, or feed into another formula.
What data can I pull from Permutations & Combinations?
Permutations & Combinations returns permutation, combination, n and r — name any one of them as the "field" argument and that value lands in the cell. Leave the field out and the whole record spills into a two-column table instead.
Which Permutations & Combinations fields need a paid plan?
formulas, formulas.permutation and formulas.combination are included from the Starter plan up. On the Free plan the cell returns #PREMIUM(field) rather than a wrong or empty value, so it's always obvious which one to upgrade for. Every other field works on Free.
Can I fill a whole column of Permutations & Combinations at once?
Yes. Put your n values down a column and point the formula at the range — A2:A50 instead of A2 — and one call returns a value for every row. Dragging the formula down works too, but the range form is a single billed call per column rather than one per cell.
How many credits does each Permutations & Combinations cell cost?
Each resolved cell costs 1 credit. A cell only re-bills when it actually refreshes, so a sheet you aren't touching doesn't keep charging.
Does Permutations & Combinations work in Excel as well as Google Sheets?
Yes — same arguments, same key, same fields. Excel namespaces custom functions, so the call is =VERVE.CALL() there and =VERVE() in Google Sheets; nothing else about it changes.

Put Permutations & Combinations in your next spreadsheet. Add the extension, paste the formula, and the cell keeps itself current.

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