CA Foundation Exam > CA Foundation Questions > The ways of selecting 4 letters from the word...
Start Learning for Free
The ways of selecting 4 letters from the word EXAMINATION is?
Most Upvoted Answer
The ways of selecting 4 letters from the word EXAMINATION is?
Understanding the Problem
To determine the number of ways to select 4 letters from the word "EXAMINATION," we first need to analyze the letters and their frequencies.
Letters in "EXAMINATION"
- The word "EXAMINATION" consists of the following letters:
- E: 1
- X: 1
- A: 1
- M: 1
- I: 2
- N: 2
- T: 1
- O: 1
The total distinct letters are 8, but we have repetitions with I and N.
Cases for Selection
When selecting 4 letters, we must consider different cases based on the repetition of letters:
Calculating Each Case
Total Combinations
Now, add the cases together:
- Case 1: 70
- Case 2: 30
- Case 3: 1
Final Result
The total number of ways to select 4 letters from the word "EXAMINATION" is:
To determine the number of ways to select 4 letters from the word "EXAMINATION," we first need to analyze the letters and their frequencies.
Letters in "EXAMINATION"
- The word "EXAMINATION" consists of the following letters:
- E: 1
- X: 1
- A: 1
- M: 1
- I: 2
- N: 2
- T: 1
- O: 1
The total distinct letters are 8, but we have repetitions with I and N.
Cases for Selection
When selecting 4 letters, we must consider different cases based on the repetition of letters:
- Case 1: All letters are distinct.
- Case 2: One letter appears twice, and the other two letters are distinct.
- Case 3: Two letters appear twice.
Calculating Each Case
- Case 1: Select 4 distinct letters from 8.
- Combinations = C(8, 4) = 70.
- Case 2: Choosing one letter (I or N) to appear twice.
- Choose 1 from {I, N} = 2 choices.
- Choose 2 more letters from the remaining 6 distinct letters = C(6, 2) = 15.
- Total = 2 * 15 = 30.
- Case 3: Choosing two letters (I and N) to appear twice.
- Only 1 way to choose this.
Total Combinations
Now, add the cases together:
- Case 1: 70
- Case 2: 30
- Case 3: 1
Final Result
The total number of ways to select 4 letters from the word "EXAMINATION" is:
- Total = 70 + 30 + 1 = 101.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The ways of selecting 4 letters from the word EXAMINATION is?
Question Description
The ways of selecting 4 letters from the word EXAMINATION is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ways of selecting 4 letters from the word EXAMINATION is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ways of selecting 4 letters from the word EXAMINATION is?.
The ways of selecting 4 letters from the word EXAMINATION is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ways of selecting 4 letters from the word EXAMINATION is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ways of selecting 4 letters from the word EXAMINATION is?.
Solutions for The ways of selecting 4 letters from the word EXAMINATION is? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The ways of selecting 4 letters from the word EXAMINATION is? defined & explained in the simplest way possible. Besides giving the explanation of
The ways of selecting 4 letters from the word EXAMINATION is?, a detailed solution for The ways of selecting 4 letters from the word EXAMINATION is? has been provided alongside types of The ways of selecting 4 letters from the word EXAMINATION is? theory, EduRev gives you an
ample number of questions to practice The ways of selecting 4 letters from the word EXAMINATION is? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup