Today, discuss a very important topic for ibps or other bank exams i.e. “Permutation and Combination”. There are so many questions from this topic because check the analytical’s skills of the candidate. You will get Tricks & Tips for this subject with proper examples. You can also download these study materials in PDF format.
What is Permutation (परमुतशन)
It means that arrangement where order of things is necessary and includes word formation, number formation, circular permutation etc.
What is Combination (कॉम्बिनेशन)
It means that selection where order of things is not important and it involves selection of team, forming geometrical figures, distribution of things etc.
Factorial is defined for the positive whole numbers, not for the negative numbers.
Mathematically express, n! =n*(n-1)*(n-2)*(n-3)*……………..3*2*1
Differences between permutation & combination
|Means Arrangement||Means Selection|
|Order of things is important||Order of things is NOT important|
|Permutation of three things a, b and c taking two at a time are ab, ba, ac, ca,bc and cb (Order is important).||Combination of three things a,b and c taking two at a time are ab, ca and cb (Order is not important).|
|nPr =n!⁄(n-r)!||nCr = n!⁄r!(n-r)!|
|nPn = n!||nCn = 1|
|nP = 1||nC = 1|
Permutation & Combination Notes,Tricks with Examples |Questions & Answers
Question 1: In how many different ways can the letters of the word "CHARGES" be arranged in such a way that the vowels always come together?
Question 2: In how many different ways can the letters of the word "CANDIDATE" be arranged in such a way that the vowels always come together?
Question 3: How many ways are there in selecting 5 members from 6 males and 5 females, consisting 3 males and 2 females?
Question 4: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?