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- https://math.libretexts.org/Courses/Chabot_College/Chabot_College_College_Algebra_for_BSTEM/09%3A_Sequences_Probability_and_Counting_Theory/9.05%3A_Counting_PrinciplesWe encounter a wide variety of counting problems every day. There is a branch of mathematics devoted to the study of counting problems such as this counting the possibilities.
- https://math.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/Discrete_Structures/11%3A_Counting/11.03%3A_Combinations_and_PermutationsA permutation is a (possible) rearrangement of objects.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.11%3A_Sequences_Probability_and_Counting_Theory/1.11.06%3A_Counting_PrinciplesWe encounter a wide variety of counting problems every day. There is a branch of mathematics devoted to the study of counting problems such as this counting the possibilities.
- https://math.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame_IN/SMC%3A_MATH_104_-_Finite_Mathematics_(Rohatgi)/4._Permutations_and_CombinationsThe complement of the set of choices in which both sexes must be represented is the set of choices in which only one sex is represented. The problem in the following video is solved in two ways: first...The complement of the set of choices in which both sexes must be represented is the set of choices in which only one sex is represented. The problem in the following video is solved in two ways: first using cases and stages, and then using complements. We can use combinations here since no one will take the survey more than once (no repeats) and since all participants have the same roll: taking the survey.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/04%3A_Relations/4.05%3A_Combinatorics-_Inclusion_ExclusionThis page explains the inclusion-exclusion principle for counting distinct elements in overlapping sets, detailing how to adjust for over-counting overlaps. An example with students in math courses il...This page explains the inclusion-exclusion principle for counting distinct elements in overlapping sets, detailing how to adjust for over-counting overlaps. An example with students in math courses illustrates this principle. It also defines a derangement as a permutation where no element retains its original position, and concludes with practice checkpoints on related counting problems.
- https://math.libretexts.org/Courses/Florida_SouthWestern_State_College/MGF_1131%3A_Mathematics_in_Context__(FSW)/03%3A_Counting_and_Probability/3.01%3A_The_Multiplication_Rule_for_CountingThis section explains the Multiplication Rule for Counting, a method for calculating probabilities and combinations through examples like cupcake counting and creating IDs. It generalizes this approac...This section explains the Multiplication Rule for Counting, a method for calculating probabilities and combinations through examples like cupcake counting and creating IDs. It generalizes this approach for various scenarios, including password and license plate combinations with specific repetition rules. The text also presents exercises for practice and problem-solving in different contexts, such as making meals and belts, emphasizing the utility of multiplication in simplifying counting tasks.
- https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/15%3A_Probabilidad/15.03%3A_ConteoYa sabes contar o no estarías tomando una clase de matemáticas de nivel universitario, ¿verdad? Pues sí, pero lo que vamos a investigar aquí son formas de contar de manera eficiente. Cuando lleguemos ...Ya sabes contar o no estarías tomando una clase de matemáticas de nivel universitario, ¿verdad? Pues sí, pero lo que vamos a investigar aquí son formas de contar de manera eficiente. Cuando lleguemos a las situaciones de probabilidad un poco más adelante en este capítulo, tendremos que contar algunos números muy grandes, como el número de posibles boletos ganadores de lotería. Una forma de hacerlo sería anotar cada conjunto posible de números que pudieran aparecer en un boleto de lotería, pero c
- https://math.libretexts.org/Workbench/College_Algebra_2e_(OpenStax)/09%3A_Sequences_Probability_and_Counting_Theory/9.06%3A_Counting_PrinciplesWe encounter a wide variety of counting problems every day. There is a branch of mathematics devoted to the study of counting problems such as this counting the possibilities.
- https://math.libretexts.org/Courses/Truckee_Meadows_Community_College/TMCC%3A_Precalculus_I_and_II/Under_Construction_test2_11%3A_Sequences_Probability_and_Counting_Theory/Under_Construction_test2_11%3A_Sequences_Probability_and_Counting_Theory_11.5%3A_Counting_PrinciplesWe encounter a wide variety of counting problems every day. There is a branch of mathematics devoted to the study of counting problems such as this counting the possibilities.
- https://math.libretexts.org/Courses/Florida_SouthWestern_State_College/MGF_1131%3A_Mathematics_in_Context__(FSW)/03%3A_Counting_and_Probability/3.02%3A_PermutationsThis section covers permutations, focusing on their calculation through the Multiplication Rule for Counting and factorials. It provides various examples, including Olympic swimming heats and roles fo...This section covers permutations, focusing on their calculation through the Multiplication Rule for Counting and factorials. It provides various examples, including Olympic swimming heats and roles for students, to illustrate applications and the importance of order in permutations. The text explains permutations of identical items and includes exercises for practice. Additionally, it mentions that the page contains questions from MyOpenMath, which is under a Creative Commons license.
- https://math.libretexts.org/Courses/Coastline_College/Math_C170%3A_Precalculus_(Tran)/11%3A_Sequences_Probability_and_Counting_Theory/11.06%3A_Counting_PrinciplesWe encounter a wide variety of counting problems every day. There is a branch of mathematics devoted to the study of counting problems such as this counting the possibilities.