Mathematics - Additional - 0606 CIE

Permutations And Combinations

Akopọ

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.

Awọn Afojusun

  1. Recognise the difference between permutations and combinations and know when each should be used.

Akọ̀wé Ẹ̀kọ́

Counting possibilities is at the heart of probability, security and planning. The chance of winning a lottery, the number of possible passwords, the ways to seat guests: all are counting problems. Learning first to recognise whether order matters is the key skill, because it decides every formula and method that follows.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Permutations And Combinations. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. In a permutation: A. Order does not matter B. Order matters C. Items must repeat D. Only two items are chosen Answer: B
  2. In a combination: A. Order matters B. Order does not matter C. Items are arranged in a line D. Repetition is required Answer: B
  3. How many ways can gold, silver and bronze be awarded among 5 runners? A. 10 B. 15 C. 60 D. 125 Answer: C
  4. How many ways can a committee of 3 be chosen from 5 people? A. 6 B. 10 C. 15 D. 60 Answer: B
  5. 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

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
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O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Permutations And Combinations? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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