Permutation and Combination Formula PDF for Bank Exam: The selection of specific things from a group of things to form sub groups with or without replacement is said to be Permutation and Combination. These are the various ways of arranging a certain group of things. Permutation is when we select the things from a certain group. While Combination is the order in which the things are represented. Let us discuss more about permutation and combination formulas in this article.

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Permutation and Combination Formula PDF for Bank Exams

The permutation and combination formula pdf is added in this permutation and combination formula for bank exams article. This permutation and combination formula pdf will help you to score more marks in the bank exams and other competitive exams. So candidates can download this permutation and combination formula pdf for bank exams to be familiar with the what is permutation, permutation and combination formulas and to get an idea with the permutation and combination formula with example in this permutation and combination formula for bank exams article. Download this permutation and combination formula pdf for your future reference. 

Download the permutation and combination formula pdf for bank exams

 

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What is Permutation and Combination?

We have provided a deep explanation for the candidates to know what is permutation and combination in this permutation and combination formula for bank exams article. Here you will get to know what is permutation and combination in bank exams. Permutation and combination are the ways to describe a group of objects by selecting them in a set and forming subsets. It determines the different methods to arrange a certain group of data. If we choose the data or objects from a certain group, it is called permutations, whereas the order in which they are described is called combination. The permutation and combination questions are very easy to solve if we are experts with what is permutation and combination and permutation and combination formulas. Candidates can download this permutation and combination formula pdf to know what is permutation and combination, various permutation and combination formulas and to solve the permutation and combination questions with reference to the permutation and combination formula with example with speed and accuracy. 

What is Permutation in Bank Exams?

We came up with a detailed explanation of what is permutation in this permutation and combination formula for bank exams article. A permutation is the act of arranging all the elements of a set into some sequence or order. A permutation is a word that determines the number of ways things can be arranged. The candidates can go through this permutation and combination formula for bank exams post to know more about what is permutation and combination, the permutation and combination formula and solve the problems with reference with the permutation and combination formula with example.   

What is Combination in Bank Exams?

We have provided a detailed explanation of what is combination in this permutation and combination formula for bank exams post. A combination is a way of picking elements from a collection where the order of picking does not matter. This is called combination in the banking exams. Candidates shall go through this permutation and combination formula for bank exams post to know more about what is permutation and combination, the permutation and combination formulas. Aspirants can download the permutation and combination formula pdf in this permutation and combination formula article to be familiar with the permutation and combination formulas.

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Permutation and Combination Formula for Bank Exams

Here we have uploaded the permutation and combination formula pdf for bank exams in this permutation and combination formula for bank exams. Aspirants shall revise this permutation and combination formula article or download the permutation and combination formula pdf for bank exams to enhance their preparation level with the permutation and combination formula for bank exams. By utilizing these permutations and combination formulas article you will get to know what is permutation and combination, permutation and combination formulas, and permutation and combination with examples.

• Factorial of a natural number n.

n! = 1 × 2 × 3 × 4 × .......× n

• Permutation Formula for Bank Exams:

nPr = (n!) / (n-r)!

• Combination Formula for Bank Exams:

nCr = (n!) / r!(n-r)!

• The relationship between permutation and combination for r things taken from n things

nPr = r! × nCr

Difference Between the Permutation and Combination for Bank Exams

The difference between the permutation and combination is added in this permutation and combination formula for bank exams article. Candidates shall exploit this permutation and combination formula post to know the difference between the permutation and combination. You can also download the permutation and combination formula pdf for bank exams in this permutation and combination formula for bank exams article to increase your speed and accuracy while solving the permutation and combination questions in the bank exams and other competitive exams. 

Difference Between the Permutation and Combination for Bank Exams
Permutation	Combination
Permutations are used if order or sequence of arrangement is needed	Combinations are used when only the number of possible groups are to be found, and the order or sequence of arrangements is not needed
Permutations are used for things of a different kind	Combinations are used for things of a similar kind
The permutation of two things from three given things x, y, z is xy, yx, yz, zy, xz, zx	The combination of two things from three given things x, y, z is xy, yz, zx
For different possible arrangements of things nPr=n!/(n-r)!	For different possible selection of things nCr =n!/r!(n-r)!

 

Permutation and Combination Formula With Examples

We have given some permutation and combination formula with example using the permutation and combination formula for bank exams. Candidates shall download the permutation and combination formula pdf for bank exams in this permutation and combination formula for bank exams article to solve more different types of questions by using the permutation and combination formula. You can refer this permutation and combination formula with example to solve the questions related to this type. 

Example 1:  Determine the number of 5 card combinations out of a deck of 52 cards, if there is exactly one king in each combination.

Solution:

Given a deck of 52 cards

There are 4 king cards in a deck of 52 cards.

According to the given, we need to select 1 king card out of the 4 Ace cards

∴ The number of ways to select 1 king from 4 king cards is 4C1

⇒ More 4 cards are to be selected now from 48 cards (52 cards – 4 king cards)

∴ The number of ways to select 4 cards from 48 cards is 48C4

Number of 5 card combinations out of a deck of 52 cards if there is exactly one king in each combination = 4C1 × 48C4

= 4 × [48!/(44! 4!)]

= 4 × [(48 × 47 × 46 × 45 × 44!)/ (44! × 24)]

= 4 × 2 × 47 × 46 × 45

= 778320

Example 2: How many 4 digit numbers can be formed using the digits (1, 3, 4, 5, 7, 9) when repetition of digits is not allowed?

Solution:

The given digits are six.
The number of 4 digit numbers that can be formed using six digits is 

6P4 = 6 * 5 * 4 * 3 = 360

So there are 360 4 digit numbers that can be formed using the (1, 3, 4, 5, 7, 9).

 

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Permutation and Combination Formula for Bank Exam: FAQs

Q. What is the formula for permutation?

A. Permutation nPr = (n!) / (n-r)!

Q. What is the formula for combination?

A. Combination nCr = (n!) / r!(n-r)!

Q. What is permutation and combination?

A. Permutation and combination are the ways to describe a group of objects by selecting them in a set and forming subsets.