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Pascal's triangle, rows 0 through 7. The hockey stick identity confirms, for example: for n =6, r =2: 1+3+6+10+15=35. In combinatorics , the hockey-stick identity , [ 1 ] Christmas stocking identity , [ 2 ] boomerang identity , Fermat's identity or Chu's Theorem , [ 3 ] states that if n ≥ r ≥ 0 {\displaystyle n\geq r\geq 0} are integers, then
In mathematics, Pascal's rule (or Pascal's formula) is a combinatorial identity about binomial coefficients.It states that for positive natural numbers n and k, + = (), where () is a binomial coefficient; one interpretation of the coefficient of the x k term in the expansion of (1 + x) n.
An ice hockey stick is a piece of equipment used in ice hockey to shoot, pass, and carry the puck across the ice. Ice hockey sticks are approximately 150–200 cm long, composed of a long, slender shaft with a flat extension at one end called the blade. National Hockey League (NHL) sticks are up to 63 inches (160 cm) long. [1]
Girl with a field hockey stick. A hockey stick is a piece of sports equipment used by the players in all the forms of hockey to move the ball or puck (as appropriate to the type of hockey) either to push, pull, hit, strike, flick, steer, launch or stop the ball/puck during play with the objective being to move the ball/puck around the playing area using the stick, and then trying to score.
The NHL's rule book is the basis for the rule books of most North American professional leagues. The IIHF, amateur and NHL rules evolved separately from amateur and professional Canadian ice hockey rules of the early 1900s. [1] Hockey Canada rules define the majority of the amateur games played in Canada.
The problem of points, also called the problem of division of the stakes, is a classical problem in probability theory.One of the famous problems that motivated the beginnings of modern probability theory in the 17th century, it led Blaise Pascal to the first explicit reasoning about what today is known as an expected value.
The National Hockey League rules are the rules governing the play of the National Hockey League (NHL), a professional ice hockey organization. Infractions of the rules, such as offside and icing , lead to a stoppage of play and subsequent face-offs , while more serious infractions lead to penalties being assessed to the offending team.
Early hockey sticks of English manufacture. In field hockey, each player carries a stick and cannot take part in the game without it. The stick for an adult is usually in the range 89–95 cm (35–38 in) long. A maximum length of 105 cm (41.3") was stipulated from 2015. [1] The maximum permitted weight is 737 grams. [2]
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