CA Foundation Exam > CA Foundation Questions > The number of 4 digits number greater than 50...
Start Learning for Free
The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is?
Most Upvoted Answer
The number of 4 digits number greater than 5000 can be formed out of t...
Understanding the Problem
To find the number of 4-digit numbers greater than 5000 formed from the digits 3, 4, 5, 6, and 7 (without repetition), we first identify the possible choices for the first digit.
Choosing the First Digit
- The first digit must be either 5, 6, or 7 to ensure the number is greater than 5000.
- Thus, we have 3 options for the first digit.
Calculating Remaining Digits
After selecting the first digit, we need to fill the remaining three positions with the digits left from the original set.
- If the first digit is 5: Remaining digits are 3, 4, 6, and 7 (4 options).
- If the first digit is 6: Remaining digits are 3, 4, 5, and 7 (4 options).
- If the first digit is 7: Remaining digits are 3, 4, 5, and 6 (4 options).
Counting Permutations
For each choice of the first digit, we can choose and arrange the remaining 3 digits:
- The number of ways to arrange 3 digits is given by 3! (which equals 6).
Final Calculation
Now, we can calculate the total number of 4-digit numbers:
- Total = (Number of choices for the first digit) × (Arrangements of remaining digits)
- Total = 3 (choices) × 6 (arrangements) = 18.
Conclusion
Therefore, the total number of 4-digit numbers greater than 5000 that can be formed from the digits 3, 4, 5, 6, and 7 without repetition is 18.
To find the number of 4-digit numbers greater than 5000 formed from the digits 3, 4, 5, 6, and 7 (without repetition), we first identify the possible choices for the first digit.
Choosing the First Digit
- The first digit must be either 5, 6, or 7 to ensure the number is greater than 5000.
- Thus, we have 3 options for the first digit.
Calculating Remaining Digits
After selecting the first digit, we need to fill the remaining three positions with the digits left from the original set.
- If the first digit is 5: Remaining digits are 3, 4, 6, and 7 (4 options).
- If the first digit is 6: Remaining digits are 3, 4, 5, and 7 (4 options).
- If the first digit is 7: Remaining digits are 3, 4, 5, and 6 (4 options).
Counting Permutations
For each choice of the first digit, we can choose and arrange the remaining 3 digits:
- The number of ways to arrange 3 digits is given by 3! (which equals 6).
Final Calculation
Now, we can calculate the total number of 4-digit numbers:
- Total = (Number of choices for the first digit) × (Arrangements of remaining digits)
- Total = 3 (choices) × 6 (arrangements) = 18.
Conclusion
Therefore, the total number of 4-digit numbers greater than 5000 that can be formed from the digits 3, 4, 5, 6, and 7 without repetition is 18.
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
|
|
Top Courses for CA FoundationView all
The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is?
Question Description
The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such 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 number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is?.
The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such 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 number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is?.
Solutions for The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such 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 number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is? defined & explained in the simplest way possible. Besides giving the explanation of
The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is?, a detailed solution for The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is? has been provided alongside types of The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such is? theory, EduRev gives you an
ample number of questions to practice The number of 4 digits number greater than 5000 can be formed out of the digits 3,4,5,6 and 7 (number are not repeated). The number of such 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