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Two seating arrangements of people around a circular table are called the same if, for each seated person, the same person is seated to that person`s immediate right in both arrangements.

Quantity A

The number of different seating arrangements of 4 people around a circular table

Quantity B

8


There are 25 students in Ms. Ware's class-15 of these students take French, 12 of these students take Spanish, and 8 of these students take Latin. If all 25 students in Ms.Ware's class take at least one of these three language courses, which of the following is the greatest possible number of students in the class who could be taking all three language courses?
Each time a certain coin is tossed, the probability is $$\frac{1}{2}$$ that it will land head up and $$\frac{1}{2}$$ that it will land tail up. If the coin is tossed 3 times, what is the probability that it will land heads up exactly twice?
Any time the double helix of DNA is cut, the cell initiates what is usually ____________ repair to the break: during the mending process, a few letters of DNA usually get deleted.
Translators are becoming less rather than more (i)____________. Few readers are (ii)____________ the person who translates their favorite foreign novelist, even though that person will have a huge influence on the tone and feel of every page.
The comments are (i)____________ to be sure, meant to suggest new lines of research rather than to deal with the subject in (ii)____________ manner.
Which of the following best describes the function of the highlighted sentence?
Which of the following statements about Baksei Chamkrong can be inferred from the passage?
Line segment QT has length 28. Point P is on QT, and line segment PT has length 15. Point X is also on QT, and line segment XP has length 3.

Quantity A

The length of line segment QX

Quantity B

The length of line segment QP




A typing test was given to 87 people. The table shows the cumulative frequency distribution for the numbers of errors made by this group of people on the test. How many of the 87 people made exactly 3 errors on the test?


The time period during which the actual water level was lower than the drought warning water level was approximately what fraction of the one-year period shown?
Action cinema has a reputation for giving spectators all action and no plot, and that reputation for narrative ____________ seems to have gained further traction with the increasingly ubiquitous use of digital effects.
According to Pasquale, because technocratic corporate managers often seek to cloak contestable value judgments in the garb of science, these managers have (i)____________ mathematical models that reframe (ii)____________ conclusions (such as the worth of a worker, service, article, or product) as the inevitable dictate of salient, measurable data.
The geographer held a (i)____________ view of the succession of theoretical trends (environmental determinism, spatial determinism, and various types of critical theory) in her field, maintaining that theory can (ii)____________ what is transpiring in a complex environment by focusing excessively on the favored schemes and variables of the moment.
It seems clear that the (i)____________ nature of the candidate's comments is calculated. As a long-standing target of critics who claim he is too radical, he understands that he needs to be as (ii)____________ as possible if he is to overcome his own reputation as an overly (iii)____________ leader.
The label "melodrama" tends to have (i)____________ implications when used to describe a film with historical subject matter. Melodrama is widely perceived as antithetical to cinematic realism and thus, from a perspective that seeks (ii)____________ rendering of the historical past, incapable of delivering the necessary (iii)____________.
Although boredom is ____________, recent research indicates that excessive amounts of it can be harmful to health.
Jamie offered to loan her classmate a pencil, on the condition that in three days he repay her with two boxes of brand-new pencils: who would have believed that such ____________ would exist among the young?
The development of expertise in artistic and other fields may depend partly on ____________: data suggest that a person's level of achievement correlates strongly with the hours of practice he or she puts in.
n is an integer greater than 10.

Quantity A

The sum of the reciprocals of the first 2n positive integers

Quantity B

1 more than the sum of the reciprocals of the first n positive integers


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