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.

Live or frozen

Keep the permutations & combinations values as formulas that look up again when their inputs change, or fill them as plain values that never move.

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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