FAQs on Permutation and Combination Tips and Tricks for Government Exams

Question 1

1. What is the difference between permutation and combination?

Accepted Answer

Ans. Permutation and combination are both mathematical concepts used to count and arrange objects. The main difference between them lies in whether the order of the objects matters or not. In permutations, the order matters, while in combinations, the order does not matter. For example, if we have three letters A, B, and C, the permutations would include ABC, ACB, BAC, etc., while the combinations would only include ABC.

Question 2

2. How do I calculate the number of permutations?

Accepted Answer

Ans. To calculate the number of permutations, we use the formula nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects taken at a time. The exclamation mark denotes factorial, which means multiplying a number by all positive integers less than it. For example, if we have 5 objects and we want to arrange them in groups of 3, the calculation would be 5P3 = 5! / (5 - 3)! = 5! / 2! = 5 * 4 * 3 = 60 permutations.

Question 3

3. How do I calculate the number of combinations?

Accepted Answer

Ans. To calculate the number of combinations, we use the formula nCr = n! / (r! * (n - r)!), where n is the total number of objects and r is the number of objects taken at a time. Similar to permutations, the exclamation mark denotes factorial. For example, if we have 5 objects and we want to select 3 of them without considering the order, the calculation would be 5C3 = 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = 10 combinations.

Question 4

4. In how many ways can I arrange the letters of the word 'MISSISSIPPI'?

Accepted Answer

Ans. To calculate the number of ways to arrange the letters of the word 'MISSISSIPPI,' we need to consider the repetition of letters. Since the word has 11 letters in total, including 4 I's, 4 S's, and 2 P's, the calculation would be 11! / (4! * 4! * 2!) = 34,650 ways.

Question 5

5. How can permutation and combination concepts be applied in real-life situations?

Accepted Answer

Ans. Permutation and combination concepts have various applications in real-life situations. They can be used in probability calculations, such as determining the number of possible outcomes in a game or lottery. They are also useful in counting arrangements in various fields, such as arranging seats in a theater, organizing schedules, or creating passwords. Additionally, permutation and combination concepts are applied in statistics to analyze data and calculate the number of possible combinations of variables.

00:00	Quantitative Aptitude
00:43	Formula
15:24	In how many ways can we arrange the word 'FUZZTONE' so that all the vowels come together?
33:05	4 members form a group out of total 8 members. i In how many ways it is possible to make the group if two particular members must be included. fi In how many ways it is possible to make the group if two particular members must not be included?
38:10	There are 8 routes from London to Delhi. And there are 6 routes from Delhi to Tokyo. In how many different ways can Raj
40:30	school boys, 5 senior citizens and 8 babies in the group. The
44:14	In a class, there are 15 students. During a Christmas party all of them shook hands with each other only once. How many
48:19	A bank has 6 digit account number with no repetition of digits within a account number. The first and last digit of the account numbers is fixed to be 4 and 7. How many such account numbers are possible?
50:31	A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3
53:54	On a railway line there are 20 stops. A ticket is needed to travel between any 2 stops. How many different tickets would the government need to prepare to cater to all possibilities?
56:12	17 students are present in a class. In how many ways, can they be made to stand in 2 circles of 8 and 9 students? EASY
More

00:00	Quantitative Aptitude
00:43	Formula
15:24	In how many ways can we arrange the word 'FUZZTONE' so that all the vowels come together?
33:05	4 members form a group out of total 8 members. i In how many ways it is possible to make the group if two particular members must be included. fi In how many ways it is possible to make the group if two particular members must not be included?
38:10	There are 8 routes from London to Delhi. And there are 6 routes from Delhi to Tokyo. In how many different ways can Raj
40:30	school boys, 5 senior citizens and 8 babies in the group. The
44:14	In a class, there are 15 students. During a Christmas party all of them shook hands with each other only once. How many
48:19	A bank has 6 digit account number with no repetition of digits within a account number. The first and last digit of the account numbers is fixed to be 4 and 7. How many such account numbers are possible?
50:31	A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3
53:54	On a railway line there are 20 stops. A ticket is needed to travel between any 2 stops. How many different tickets would the government need to prepare to cater to all possibilities?
56:12	17 students are present in a class. In how many ways, can they be made to stand in 2 circles of 8 and 9 students? EASY
More

Permutation and Combination Tips and Tricks for Government Exams

FAQs on Permutation and Combination Tips and Tricks for Government Exams

Tips & Tricks for Government Exams

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