Permutations
Chapter Name : Permutations And Combinations |
Sub Topic Code : 104_11_07_03_01 |
Topic Name : Permutations |
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Sub Topic Name : Permutations When All The Objects Are Distinct |
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Introduction
• We use permutations in real life without even knowing it. • Permutation is a way to arrange numbers or objects if order matters. • One such example is if you are trying to visit three cities on your excursion trip, does it matter which city you visit first?
Pre-Requisites:
Knowledge of fundamental principle of counting.
Activity:
You will observe the required number of words will be 6*5*4 = 120
Real Life Question:
Can permutations be applied to allocation of telephone numbers?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Permutations | Permutation is an arrangement of number or object in definite order. |
| Combination | Combination is an arrangement of number or object without any order. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Paper, Pen | Write the word WINGS on paper and you have to determine 3 distinct letter words with or without meaning. How many arrangements can be formed? |
Real life uses :
Real life uses of permutations are Allotting telephone numbers, setting up door numbers of houses.
Places to visit :
Look for cheese, tomato, cucumber, bread and make different combination of sandwiches. Does the order in which ingredients are selected make any difference?
Practical examples around us
| Examples | Explainations |
|---|---|
| Number plates of vehicles | Number plates of vehicles are permutations because the order matters while designing the number of the vehicle. |
What you learn in Theory:
Permutation is an arrangement of number or objects in an order.
What you learn in Practice:
If order matters in arranging any number like mobile number or IP addresses of your internet connection then it is permutation.