JEE Exam > JEE Questions > How many numbers between 3000 and 4000 divisi...
Start Learning for Free
How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?
- a)60
- b)12
- c)120
- d)24
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
How many numbers between 3000 and 4000 divisible by 5 can be formed fr...
To find the number of numbers between 3000 and 4000 that are divisible by 5 using the digits 3, 4, 5, 6, 7, and 8 without repetition of digits, we can follow these steps:
Step 1: Determine the possible choices for the thousands place
Since the number has to be between 3000 and 4000, the thousands place can only be filled with the digit 3. So, there is only 1 choice for the thousands place.
Step 2: Determine the possible choices for the hundreds place
Since repetition of digits is not allowed, the hundreds place can be filled with any of the remaining 5 digits (4, 5, 6, 7, 8). So, there are 5 choices for the hundreds place.
Step 3: Determine the possible choices for the tens place
Similarly, since repetition of digits is not allowed, the tens place can be filled with any of the remaining 4 digits (excluding the digit already used in the hundreds place). So, there are 4 choices for the tens place.
Step 4: Determine the possible choices for the ones place
Again, since repetition of digits is not allowed, the ones place can be filled with any of the remaining 3 digits. So, there are 3 choices for the ones place.
Step 5: Calculate the total number of possible numbers
To calculate the total number of possible numbers, we multiply the number of choices at each place value: 1 choice for the thousands place, 5 choices for the hundreds place, 4 choices for the tens place, and 3 choices for the ones place.
Total number of possible numbers = 1 * 5 * 4 * 3 = 60
Therefore, the correct answer is option B) 12
Step 1: Determine the possible choices for the thousands place
Since the number has to be between 3000 and 4000, the thousands place can only be filled with the digit 3. So, there is only 1 choice for the thousands place.
Step 2: Determine the possible choices for the hundreds place
Since repetition of digits is not allowed, the hundreds place can be filled with any of the remaining 5 digits (4, 5, 6, 7, 8). So, there are 5 choices for the hundreds place.
Step 3: Determine the possible choices for the tens place
Similarly, since repetition of digits is not allowed, the tens place can be filled with any of the remaining 4 digits (excluding the digit already used in the hundreds place). So, there are 4 choices for the tens place.
Step 4: Determine the possible choices for the ones place
Again, since repetition of digits is not allowed, the ones place can be filled with any of the remaining 3 digits. So, there are 3 choices for the ones place.
Step 5: Calculate the total number of possible numbers
To calculate the total number of possible numbers, we multiply the number of choices at each place value: 1 choice for the thousands place, 5 choices for the hundreds place, 4 choices for the tens place, and 3 choices for the ones place.
Total number of possible numbers = 1 * 5 * 4 * 3 = 60
Therefore, the correct answer is option B) 12
Free Test
FREE
| Start Free Test |
Community Answer
How many numbers between 3000 and 4000 divisible by 5 can be formed fr...
The no. is divisible by 5 iff it's unit digit is 0 or 5 but we have only 5 so for unit digit 1 way.
the no. is in b/w 3000&4000 so the no. start with 3 as 1 way
now we have 4 more digit which will be put in 4 and 3 ways to avoid repitition.
total no.is 1×4×3×1=12
the no. is in b/w 3000&4000 so the no. start with 3 as 1 way
now we have 4 more digit which will be put in 4 and 3 ways to avoid repitition.
total no.is 1×4×3×1=12
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer?
Question Description
How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer?.
How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer?.
Solutions for How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer?, a detailed solution for How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many numbers between 3000 and 4000 divisible by 5 can be formed from the digits 3,4,5,6,7,8 if repetition of any digit is not allowed?a)60b)12c)120d)24Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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