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WikiCards · Card list · Science cards · Binomial coefficient
Rare card · Science
Binomial coefficient, a Rare card
In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem.
- Rarity
- Rare
- Domain
- Science
- ATK
- 80
- DEF
- 58
- Power
- 138
- Wikipedia reads a year
- 230,000
Power 138 (ATK + DEF): stronger than 75 % of WikiCards cards.
Binomial coefficient quiz: 3 questions
Three questions on the Binomial coefficient card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Commonly, a binomial coefficient is indexed by a pair of ______ n ≥ k ≥ 0 and is written or C .
Answer
integers. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written or C . From the Binomial coefficient article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Binomial coefficient. Binomial coefficient 80 · Barbiturate 75 · Special routes of U.S. Route 62 72 · Of Monsters and Men 69 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Barbiturate. Barbiturate 630,000 · Hyperbolic functions 390,000 · Binomial coefficient 230,000 · Special routes of U.S. Route 62 790 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written or C .
- It is the coefficient of the xk term in the polynomial expansion of the binomial powern, this coefficient can be computed by the multiplicative formula = n × × ⋯ × k × × ⋯ × 1, which using factorial notation can be compactly expressed as = n ! k !
- !. For example, the fourth power of 1 + x is 4 = x 0 + x 1 + x 2 + x 3 + x 4 = 1 + 4 x + 6 x 2 + 4 x 3 + x 4, and the binomial coefficient = 4 × 3 2 × 1 = 4 !
Why it is Rare
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Binomial coefficient article was read about 230,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 80 and blocks with 58: each hit it takes is cut by 23 %.
How to get Binomial coefficient
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Binomial coefficient in the power ranking, all domains together.
- Of Monsters and MenRare · Arts · ATK 69 DEF 69
- Gracie AllenRare · Arts · ATK 70 DEF 68
- HarpsichordRare · Arts · ATK 73 DEF 65
- BoléroRare · Arts · ATK 73 DEF 65
- Them Crooked VulturesRare · Arts · ATK 71 DEF 67
- Magnesium sulfateRare · Science · ATK 71 DEF 67
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Binomial coefficient (revision), CC BY-SA 4.0. Photo : User:Conrad.Irwin originally User:Drini, CC BY-SA 3.0, Wikimedia Commons.
