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2. Hockey-stick identity - Wikipedia

   en.wikipedia.org/wiki/Hockey-stick_identity

   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

3. Pascal's rule - Wikipedia

   en.wikipedia.org/wiki/Pascal's_rule

   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.

4. Ice hockey equipment - Wikipedia

   en.wikipedia.org/wiki/Ice_hockey_equipment

   A set of full hockey equipment, minus jersey and socks at the Royal Ontario Museum, 2006. In ice hockey, players use specialized equipment both to facilitate the play of the game and for protection as this is a sport where injuries are common, therefore, all players are encouraged to protect their bodies from bruises and severe fractures.

5. Toe socks - Wikipedia

   en.wikipedia.org/wiki/Toe_socks

   Toe socks (also known as fingersocks, glove socks, 5-toe socks or digital socks) are socks that have been knitted so that each toe is individually encased the same way as fingers within a glove. All sock lengths are available as toe socks, from no-show style to anklet and ankle socks through to knee-high and over-knee socks.

6. The best stocking stuffers for women - AOL

   www.aol.com/lifestyle/best-stocking-stuffers...

   We found all the best stocking stuffers for women, from skincare favorites like eye masks to gift cards and tea towels.

7. Why Emperor Penguin Populations are Declining - AOL

   www.aol.com/why-emperor-penguin-populations...

   These birds stand anywhere from 3.5 to 4.3 feet and can weigh anywhere from 50-90 pounds. You can tell them apart from other penguins by their distinct black and white plumage.