This document contains solutions to exercises involving permutations. It explains how to calculate the number of permutations of different objects using factorial notation. For example, it shows that there are 6! = 720 ways to arrange 7 distinct keys on a circular key ring, since any key can be chosen as the first key. It also provides examples of using permutations to solve problems involving arranging letters in words, choosing music to perform, and placing video games on a shelf by genre.
Maikling pagtalakay sa pag-unlad ng panulaang pilipino. Makikita ang mga tao na malaki ang naging ambag sa pag-unlad at pagyabong ng panulaan dito sa Pilipinas
Maikling pagtalakay sa pag-unlad ng panulaang pilipino. Makikita ang mga tao na malaki ang naging ambag sa pag-unlad at pagyabong ng panulaan dito sa Pilipinas
This document discusses the history and development of language use in Philippine radio from the 1920s to present. It traces the origins of radio broadcasting in the country and the initial use of English. It then outlines key events like the growth of stations after WWII, the adoption of Tagalog/Filipino in the 1950s, and changes over time including the use of both Filipino and English on AM stations and mostly English on FM. Challenges like the martial law period are also summarized. The document stresses the important role of radio in information dissemination across the country and the need to use an easily understood language.
Kasanayan sa pagsulat
Filipino
Ang Filipino , ay ang pambansang wika ng Pilipinas. Itinalaga ang Filipino kasama ang Ingles, bilang isang opisyal na wika ng bansa. Isa itong pamantayang uri ng wikang Tagalog, isang pang-rehiyong wikang Austronesyo na malawak na sinasalita sa Pilipinas.
This document contains examples and explanations of permutations involving identical objects. It includes:
1) Examples of calculating permutations of words with identical letters, such as "DEED" and "KAYAK".
2) Exercises involving determining the number of permutations of numbers and words with identical digits/letters.
3) An explanation of how the number of permutations is less when there are identical objects compared to all objects being different.
1. The document contains examples of calculating combinations and permutations to determine the number of possible outcomes when selecting objects without and with regard to order.
2. It provides step-by-step workings to solve combinations and permutation problems involving people, songs, cards, and other scenarios.
3. The key concepts covered are distinguishing between combinations and permutations, using the fundamental counting principle, and applying formulas to calculate the number of possible outcomes in a variety of word problems.
This document discusses the history and development of language use in Philippine radio from the 1920s to present. It traces the origins of radio broadcasting in the country and the initial use of English. It then outlines key events like the growth of stations after WWII, the adoption of Tagalog/Filipino in the 1950s, and changes over time including the use of both Filipino and English on AM stations and mostly English on FM. Challenges like the martial law period are also summarized. The document stresses the important role of radio in information dissemination across the country and the need to use an easily understood language.
Kasanayan sa pagsulat
Filipino
Ang Filipino , ay ang pambansang wika ng Pilipinas. Itinalaga ang Filipino kasama ang Ingles, bilang isang opisyal na wika ng bansa. Isa itong pamantayang uri ng wikang Tagalog, isang pang-rehiyong wikang Austronesyo na malawak na sinasalita sa Pilipinas.
This document contains examples and explanations of permutations involving identical objects. It includes:
1) Examples of calculating permutations of words with identical letters, such as "DEED" and "KAYAK".
2) Exercises involving determining the number of permutations of numbers and words with identical digits/letters.
3) An explanation of how the number of permutations is less when there are identical objects compared to all objects being different.
1. The document contains examples of calculating combinations and permutations to determine the number of possible outcomes when selecting objects without and with regard to order.
2. It provides step-by-step workings to solve combinations and permutation problems involving people, songs, cards, and other scenarios.
3. The key concepts covered are distinguishing between combinations and permutations, using the fundamental counting principle, and applying formulas to calculate the number of possible outcomes in a variety of word problems.
This document contains examples and solutions for permutations and combinations problems from pre-calculus. It includes 12 problems covering topics like counting the total outcomes of removing coins from bags, determining the number of possible Braille patterns, and finding coefficients in binomial expansions using Pascal's triangle. The document uses formulas, diagrams, and step-by-step workings to explain the solutions.
This document contains solutions to checkpoint questions about permutations and combinations from a pre-calculus textbook. It explains how to use formulas and tree diagrams to calculate the number of possible outcomes in situations like garage door codes, meal combinations, soccer team selections, and coin/letter arrangements. For each question, it shows the work and reasoning to arrive at the final numerical answer.
1. The document is a speech given by Dr. Antonio L. Uy Jr., Vice Governor of Marinduque Province, at the Foundation for a New Humanity Alumni event in 2011.
2. Dr. Uy discusses the importance of leadership, integrity, and service to others, which he learned during his time with the Foundation for a New Humanity.
3. He encourages the alumni to apply these principles for the benefit of their communities and provinces.
This document contains a practice test with 8 multiple choice and word problems involving permutations and combinations. The problems cover topics like counting the number of arrangements of objects, using permutations and combinations to solve counting problems, expanding binomial expressions using Pascal's triangle, and solving equations involving permutations and combinations. The solutions to each problem are provided step-by-step to demonstrate the reasoning and calculations.
Computational Social Science, Lecture 05: Networks, Part Ijakehofman
The document discusses networks and graph concepts. It provides examples of social networks and the internet. It defines nodes, edges, and how networks can be represented using adjacency lists and edge lists. It discusses computing properties of networks like degrees, connected components, distances, and performing breadth-first search.
This document contains 3 short entries dated October 06, 2014 that are all labeled "6th october 2014". The document appears to be a log or record with multiple brief entries made on the same date.
This document is a list of dates, all occurring on October 3rd, 2014. Each entry repeats the date and contains a page number. There are 9 total entries in the list, each with the same date but incrementing page numbers from 1 through 9.
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