Permutations And Combinations
Bayani Gaba-gaba
How many ways can you arrange a queue, choose a committee, or set a padlock code? Counting these possibilities is the business of permutations and combinations. The single most important question to ask first is deceptively simple: does the order matter?
In this lesson you will learn to tell permutations (where order matters) from combinations (where it does not), and to choose the right tool for a counting problem. Getting this distinction right is the difference between a confident answer and a wildly wrong one, and it underpins all of probability counting.
Manufura
- Recognise the difference between permutations and combinations and know when each should be used.
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Nazarin Darasi
Barka da kammala darasi akan Permutations And Combinations. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- In a permutation: A. Order does not matter B. Order matters C. Items must repeat D. Only two items are chosen Answer: B
- In a combination: A. Order matters B. Order does not matter C. Items are arranged in a line D. Repetition is required Answer: B
- How many ways can gold, silver and bronze be awarded among 5 runners? A. 10 B. 15 C. 60 D. 125 Answer: C
- How many ways can a committee of 3 be chosen from 5 people? A. 6 B. 10 C. 15 D. 60 Answer: B
- Which of these is a combination problem? A. A 4-digit PIN B. The finishing order of a race C. Choosing a team of 3 from 8 D. Arranging books on a shelf Answer: C
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Counting Principles
Solve counting problems using the Addition Principle.
"Algebra and Trigonometry: Counting Principles" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/13-5-counting-principles. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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