![]() ![]() You cannot make a combination as XY and YX, because these combinations mean the same.įactorial n!: It is the product of all positive integers less than or equal to n.ġ) Rule of Addition: If a first task is performed in x ways and second task is performed in y ways, then either of the two operations can be performed in (x + y) waysĢ) Rule of Multiplication: If a first task is performed in x ways and second task is performed in y ways, then both of the two operations can be performed in (x × y) ways Hence, this is possible in 3 different ways: (XY, YZ, XZ,). Now only two girls are to be selected and arranged. It is denoted by n C r or C(n, r)Įxample: If we have to select two girls out of 3 girls X, Y, Z, then find the number of combinations possible. In combination, objects are selected randomly and here order of objects doesn’t matter. Now these numbers can be arranged in 6 different ways: (12, 21, 13, 31, 23, 32).ġ2 and 21, 13 and 31 or 23 and 32 do not mean the same, because here order of numbers is important.Ĭombination: Each of different groups or selections formed by taking some or all number of objects is called a combination.Ĭombination is used in different cases which include team/group/committee. It is denoted by n P r or P(n, r).Įxample: Arrange the given 3 numbers 1, 2, 3 by taking two at a time. ![]() In permutation, objects are to be arranged in particular order. Permutation includes word formation, number formation, circular permutation, etc. Permutation: The various ways of arranging a given number of things by taking some or all at a time are all called as permutations. ![]() This chapter will definitely clear the concepts of permutation and combination, the only thing you have to do is thoroughly understand the difference between the two terms and as well learn the quick tips to solve problems based on this chapterĭifference between permutation and combination
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