![]() ![]() solving linear and quadratic equations and inequalities.relations, functions, equations and inequalities.factoring and simplifying algebraic expressions.concepts such as estimation, percent, ratio, rate, absolute value, the number line, decimal representation and sequences of numbers.arithmetic operations, exponents and roots.properties and types of integers, such as divisibility, factorization, prime numbers, remainders and odd and even integers.The skills, concepts and abilities are assessed in the four content areas below. Many of the questions are "word problems," which must be translated and modeled mathematically. In computer security, if you want to estimate how strong a password is based on the computing power required to brute force it, you calculate the number of permutations, not the number of combinations.Some of the Quantitative Reasoning questions are posed in real-life settings, while others are posed in purely mathematical settings. For example, a "combination lock" is in fact a "permutation lock" as the order in which you enter or arrange the secret matters. ![]() Very often permutations are mistaken for combinations, at least in common language use. For example, if you are thinking of the number of combinations that open a safe or a briefcase, then these are in fact permutations, since changing the order of the numbers or letters would result in an invalid code. Permutations are for ordered lists, while combinations are for unordered groups. With combinations we do not care about the order of the things resulting in fewer combinations. The difference between combinations and permutations is that permutations have stricter requirements - the order of the elements matters, thus for the same number of things to be selected from a set, the number of possible permutations is always greater than or equal to the number of possible ways to combine them.
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