Bank Exams > Tips & Tricks for Government Exams > Tips & Tricks: Permutation & Combination
Tips & Tricks: Permutation & Combination - Tips & Tricks for Government Exams - Bank Exams
Theory
Permutation implies arrangement where order of things is important and includes word formation, number formation, circular permutation etc. Combination means selection where order is not important and it involves selection of team, forming geometrical figures, distribution of things etc.
Factorial = Factorial are defined for natural numbers, not for negative numbers.
n! = n.(n-1).(n-2).........3.2.1
Formula
Permutation
- nPr = n! / (n-r)!
- If from the total set of n numbers p is of one kind and q ,r are others respectively then nPr = n! / p! × q! × r!.
- nPn = n!
Combination
- nCr = n!/ r! × (n-r)!
- nC0 = 1
- nCn = 1
- nCr = nCn - r
- nCa = nCb ⇒ a = b ⇒ a+b = n
- nC0 + nC1+ nC2+ nC3+ ...............+ nCn = 2n
Solved Examples
Question for Tips & Tricks: Permutation & CombinationTry yourself:In how many ways the letters of the word ‘MINIMUM’ be arranged taking all the letters? View Solution
Question for Tips & Tricks: Permutation & CombinationTry yourself:In how many ways 5 rings can be worn on 3 fingers? View Solution
Question for Tips & Tricks: Permutation & CombinationTry yourself:In how many ways the letters of the word ‘AUTHOR’ be arranged taking all the letters? View Solution
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FAQs on Tips & Tricks: Permutation & Combination - Tips & Tricks for Government Exams - Bank Exams
| 1. What is the difference between permutation and combination? |  |
Ans. Permutation refers to the arrangement of objects in a specific order, while combination refers to the selection of objects without considering the order in which they are arranged.
| 2. How do you calculate the number of permutations of a set? | |
Ans. The number of permutations of a set can be calculated using the formula nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects selected for each permutation.
| 3. What is the formula for calculating the number of combinations? | |
Ans. The formula for calculating the number of combinations is nCr = n! / (r! * (n - r)!), where n is the total number of objects and r is the number of objects selected for each combination.
| 4. What is the concept of factorial in permutations and combinations? | |
Ans. The concept of factorial is used in permutations and combinations to calculate the number of arrangements or selections. Factorial of a number n, denoted as n!, is the product of all positive integers from 1 to n.
| 5. How can permutations and combinations be used in real-life scenarios? | |
Ans. Permutations and combinations are used in various real-life scenarios, such as in determining the number of possible outcomes in a game, calculating the number of ways to arrange objects or people, and analyzing probability in different situations. They are also used in fields like statistics, probability theory, and computer science.
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