nCr

Abbreviation with 3 meanings

nCr
Stands forCombinations (n choose r)
Meanings3
CategoriesUnits & Measurements, Geography & Places, Organizations & Companies
Also writtenNCR

nCr has three meanings. The most common are Combinations (n choose r) (math) and National Capital Region (Canada) (region); it can also stand for National Cash Register.

Meanings of nCr at a glance

#nCr stands forContext
1Combinations (n choose r)Units & Measurements › Math
2National Capital Region (Canada)Geography & Places › Region
3National Cash RegisterOrganizations & Companies › Company and Brand

1. Combinations (n choose r)

Units & Measurements · Math Abbreviations

Calculator and textbook notation for the number of ways to choose r items from n when order does not matter: nCr = n! / (r!(n − r)!). For example, choosing 2 from 5 gives 10.

Example: Using nCr with n = 52 and r = 5 gives 2,598,960 possible poker hands.

Also written C(n, r) or as a binomial coefficient read "n choose r". The values form Pascal's triangle and are the coefficients in the expansion of (a + b)^n. Lottery odds use it: a 6-of-49 lottery has 13,983,816 possible tickets.

2. National Capital Region (Canada) (NCR)

Geography & Places · Region Abbreviations

Federal capital region of Ottawa, Ontario, and Gatineau, Quebec, which straddles the provincial border along the Ottawa River. Federal planning and land there is managed by the National Capital Commission.

Example: The NCR's Rideau Canal Skateway opens when the ice is thick enough.

The region is unusual in spanning two provinces with different official languages. In the US, the Washington area is also sometimes called the National Capital Region in federal planning documents.

3. National Cash Register (NCR)

Organizations & Companies · Company and Brand Abbreviations

American technology company that made cash registers, ATMs and point-of-sale systems; in 2023 it split into NCR Voyix (retail and restaurant technology) and NCR Atleos (ATMs). Both are based in Atlanta.

Example: The supermarket's self-checkout lanes run on NCR software.

Founded in 1884 in Dayton, Ohio, by John H. Patterson, whose sales training methods became famous. AT&T owned the company from 1991 to 1996. It moved its headquarters to the Atlanta area in 2009.

More math abbreviations

  • MM – Million (from Roman numerals MM)
  • mod – Modulo
  • MVT – Mean value theorem
  • N – Natural numbers
  • nPr – Permutations
  • ODE – Ordinary differential equation
  • pct – Percent
  • PDE – Partial differential equation

See all 91 math abbreviations →

More region abbreviations

  • MENA – Middle East and North Africa
  • Mideast – Middle East
  • MSA – Metropolitan Statistical Area
  • NA – North America
  • NEO – Northeast Ohio
  • NoCo – Northern Colorado
  • NORAM – North America
  • NorCal – Northern California

See all 60 region abbreviations →