Commerce Exam > Commerce Questions > How many three letter codes can be formed by ...
Start Learning for Free
How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?
- a)125
- b)5
- c)25
- d)5!
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
How many three letter codes can be formed by only vowels of English al...
A three letter word, to fill the 1st letter, we have 5 choices (a, e, i, o, u); to fill the 2nd letter, we again have 5 choices (a, e, i, o, u) as repeatation is allowed and at last to fill the 3rd letter, we again have 5 choices (a, e, i, o, u). So, combinations available to form a 3 letter code from vowels are 5 × 5 × 5 = 125.
Free Test
FREE
| Start Free Test |
Community Answer
How many three letter codes can be formed by only vowels of English al...
Number of Three-Letter Codes with Repetition of Vowels
To determine the number of three-letter codes that can be formed using only vowels of the English alphabet, we need to consider the following:
Step 1: Identify the Vowels in the English Alphabet
The English alphabet consists of 26 letters, out of which five are vowels: A, E, I, O, and U. These are the letters we will be using to form the three-letter codes.
Step 2: Determine the Number of Options for Each Position
Since repetition of letters is allowed, we can choose any vowel for each position. Therefore, for each position, there are five options (A, E, I, O, or U).
Step 3: Multiply the Number of Options for Each Position
To find the total number of three-letter codes, we need to multiply the number of options for each position. Since there are three positions, we multiply 5 options by itself three times.
5 x 5 x 5 = 125
Therefore, the correct answer is option 'A', 125.
Explanation:
When forming three-letter codes using only vowels of the English alphabet, repetition is allowed. This means that each position can be filled with any vowel multiple times.
For the first position, there are five options: A, E, I, O, or U. Similarly, for the second and third positions, there are also five options each.
To find the total number of three-letter codes, we multiply the number of options for each position. Since there are three positions, we multiply 5 options by itself three times:
5 x 5 x 5 = 125
Therefore, there are 125 possible three-letter codes that can be formed using only vowels of the English alphabet when repetition is allowed.
To determine the number of three-letter codes that can be formed using only vowels of the English alphabet, we need to consider the following:
Step 1: Identify the Vowels in the English Alphabet
The English alphabet consists of 26 letters, out of which five are vowels: A, E, I, O, and U. These are the letters we will be using to form the three-letter codes.
Step 2: Determine the Number of Options for Each Position
Since repetition of letters is allowed, we can choose any vowel for each position. Therefore, for each position, there are five options (A, E, I, O, or U).
Step 3: Multiply the Number of Options for Each Position
To find the total number of three-letter codes, we need to multiply the number of options for each position. Since there are three positions, we multiply 5 options by itself three times.
5 x 5 x 5 = 125
Therefore, the correct answer is option 'A', 125.
Explanation:
When forming three-letter codes using only vowels of the English alphabet, repetition is allowed. This means that each position can be filled with any vowel multiple times.
For the first position, there are five options: A, E, I, O, or U. Similarly, for the second and third positions, there are also five options each.
To find the total number of three-letter codes, we multiply the number of options for each position. Since there are three positions, we multiply 5 options by itself three times:
5 x 5 x 5 = 125
Therefore, there are 125 possible three-letter codes that can be formed using only vowels of the English alphabet when repetition is allowed.
Attention Commerce Students!
To make sure you are not studying endlessly, EduRev has designed Commerce study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Commerce.
|
Explore Courses for Commerce exam
|
|
Similar Commerce Doubts
Top Courses for CommerceView all
How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer?
Question Description
How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer?.
How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer?.
Solutions for How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Commerce.
Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.
Here you can find the meaning of How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer?, a detailed solution for How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many three letter codes can be formed by only vowels of English alphabets, given that repetition of letters is allowed?a)125b)5c)25d)5!Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Commerce tests.
|
|
Explore Courses for Commerce 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