Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Concept explainers

Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Consider the set of numbers {1,...,200}. Denote by A the set of multiples of 2 in this set. Denote by B the set of multiples of 5 in this set. Denote by the set of multiples of 11 in this set. How many numbers in {1,...,200} are divisible by at least one of 2,5 and 117 How many numbers in {1,..,200} are relatively prime to 110? (Relatively prime means they do not share any factors.) How many numbers in {1,...,200) are divisible by 2 and 11 but not by 5? How many numbers in {1,...,200) are divisible by 2 or 11 but not by 5?

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