Permutations And Combinations
Gbogbo ọrọ náà
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.
Ebumnobi
- Recognise the difference between permutations and combinations and know when each should be used.
Akọmọ Ojú-ẹkọ
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ayẹwo Ẹkọ
Ekele diri gi maka imecha ihe karịrị na Permutations And Combinations. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- 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
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Àwọn Ìwé Tó Dáa Láti Kà
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Permutations And Combinations? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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