Download Shortcuts On Permutation And Combination For Banks in Pdf

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Some Basic & General Rule & Formula: This method of Permutation & combination is totally related to the math calculation and it is very important for all bank examinations.

Factorial Notation: Let’s consider that “n” be a positive integer. Then, Factorial n, denoted by ⌊n or n!  And can be defined as follow:

n! = n (n – 1 ) ( n –2 ) …………….3.2.1.

For Example: 5! = ( 1 x 2 x 3 x 4 x 5 ) = 120;

For Example: 4! = (1 x 2 x 3 x 4 ) = 24;

For Example: 3 = ( 1 x 2 x 3 ) = 6;

You should know that 1! = 1

And also the 0! = 1

Permutation:  Arrangements of a given number or any things by taking all or some at a time is stands for permutation.

All permutation represented by letter a, b, c by taking two at a time are ( ab, ba, ac, ca, bc, cb )

While All permutations represented by letters a, b, c, taking all at a time are ( abc, acb, bac, bca, cab, cba ).

No. of Permutations: No. of all permutations of n things, taken r as a time, can be given as:

Formula1: ⁿ p _r = n (n – 1) ( n – 2 )……(n – r + 1 )  =  n! / (n – r ) !

Example: ⁶ p ₂ = 6! / 6-2= (6 x 5) = 30.

Example: ⁷ p ₃ = (7 x 6 x 5) = 210.

Important Note: No. of all arrangement that is n things, we can take all at a time = n!

For Example:  6! / 2! = 1 x 2 x 3 x 4 x 5 x 6 / 1 x 2 = 360.

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Now we learn what is permutation and related formula with it. Now for more practice we are going to solve some examples of permutation with using maths shortcuts.

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