"binomial coefficient" meaning in English

{
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    {
      "form": "binomial coefficients",
      "tags": [
        "plural"
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    }
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      "expansion": "binomial coefficient (plural binomial coefficients)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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        }
      ],
      "glosses": [
        "a coefficient of any of the terms in the expansion of the binomial (x+y)ⁿ, defined by n choose k=(n!)/(k!(n-k)!), read as \"n choose k\""
      ],
      "id": "en-binomial_coefficient-en-noun-AIPxib0T",
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "binomial",
          "binomial"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) a coefficient of any of the terms in the expansion of the binomial (x+y)ⁿ, defined by n choose k=(n!)/(k!(n-k)!), read as \"n choose k\""
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "binomial coefficient",
          "tags": [
            "neuter"
          ],
          "word": "kombinační číslo"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "binomial coefficient",
          "tags": [
            "common-gender"
          ],
          "word": "binomialkoefficient"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "binomial coefficient",
          "word": "binomikerroin"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "binomial coefficient",
          "tags": [
            "masculine"
          ],
          "word": "coefficient binomial"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "binomial coefficient",
          "tags": [
            "masculine"
          ],
          "word": "Binomialkoeffizient"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "binomial coefficient",
          "word": "binomiális együttható"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "binomial coefficient",
          "tags": [
            "masculine"
          ],
          "word": "tvíliðustuðull"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "binomial coefficient",
          "tags": [
            "masculine"
          ],
          "word": "binomni koeficijent"
        }
      ]
    }
  ],
  "word": "binomial coefficient"
}

{
  "forms": [
    {
      "form": "binomial coefficients",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "binomial coefficient (plural binomial coefficients)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "Terms with Hungarian translations",
        "Terms with Icelandic translations",
        "Terms with Serbo-Croatian translations",
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      ],
      "glosses": [
        "a coefficient of any of the terms in the expansion of the binomial (x+y)ⁿ, defined by n choose k=(n!)/(k!(n-k)!), read as \"n choose k\""
      ],
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "binomial",
          "binomial"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) a coefficient of any of the terms in the expansion of the binomial (x+y)ⁿ, defined by n choose k=(n!)/(k!(n-k)!), read as \"n choose k\""
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "binomial coefficient",
      "tags": [
        "neuter"
      ],
      "word": "kombinační číslo"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "binomial coefficient",
      "tags": [
        "common-gender"
      ],
      "word": "binomialkoefficient"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "binomial coefficient",
      "word": "binomikerroin"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "binomial coefficient",
      "tags": [
        "masculine"
      ],
      "word": "coefficient binomial"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "binomial coefficient",
      "tags": [
        "masculine"
      ],
      "word": "Binomialkoeffizient"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "binomial coefficient",
      "word": "binomiális együttható"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "binomial coefficient",
      "tags": [
        "masculine"
      ],
      "word": "tvíliðustuðull"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "binomial coefficient",
      "tags": [
        "masculine"
      ],
      "word": "binomni koeficijent"
    }
  ],
  "word": "binomial coefficient"
}