Article: A group is called finite if it has a finite number of elements. The number of elements is called the order of the group. An important class is the symmetric groups SN, the groups of permutations of N letters. For example, the symmetric group on 3 letters S3 is the group consisting of all possible orderings of the three letters ABC, i.e. contains the elements ABC, ACB, ..., up to CBA, in total 6 (or 3 factorial) elements. This class is fundamental insofar as any finite group can be expressed as a subgroup of a symmetric group SN for a suitable integer N (Cayley's theorem). Parallel to the group of symmetries of the square above, S3 can also be interpreted as the group of symmetries of an equilateral triangle.

Question: What does a finite group include?
Ans: a finite number of elements

Article: On 18 September, Stalin dispatched General H. M. Zakharov to Korea to advise Kim Il-sung to halt his offensive around the Pusan perimeter and to redeploy his forces to defend Seoul. Chinese commanders were not briefed on North Korean troop numbers or operational plans. As the overall commander of Chinese forces, Zhou Enlai suggested that the North Koreans should attempt to eliminate the enemy forces at Inchon only if they had reserves of at least 100,000 men; otherwise, he advised the North Koreans to withdraw their forces north.

Question: Who was not being briefed on the operational plans or the number of troops in combat?
Ans: Chinese commanders

Article: Purebred dogs of one breed are genetically distinguishable from purebred dogs of other breeds, but the means by which kennel clubs classify dogs is unsystematic. Systematic analyses of the dog genome has revealed only four major types of dogs that can be said to be statistically distinct. These include the "old world dogs" (e.g., Malamute and Shar Pei), "Mastiff"-type (e.g., English Mastiff), "herding"-type (e.g., Border Collie), and "all others" (also called "modern"- or "hunting"-type).

Question: the Border collie is an example of what type of dog?
Ans: herding

Article: The Ottoman bashi-bazouks brutally suppressed the Bulgarian uprising of 1876, massacring up to 100,000 people in the process. The Russo-Turkish War (187778) ended with a decisive victory for Russia. As a result, Ottoman holdings in Europe declined sharply; Bulgaria was established as an independent principality inside the Ottoman Empire, Romania achieved full independence. Serbia and Montenegro finally gained complete independence, but with smaller territories. In 1878, Austria-Hungary unilaterally occupied the Ottoman provinces of Bosnia-Herzegovina and Novi Pazar.

Question: What war occurred from 1877 to 1878?
Ans:
Russo-Turkish War