CAT Exam > CAT Questions > A 7-character code is such that only even dig...
Start Learning for Free
A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?
- a)(5)4 × (5)3
- b)(4)4 × (5)3
- c)(5)4 × (4)3
- d)(5)4 × (4)5
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A 7-character code is such that only even digits occur at even places ...
Understanding the problem:
To form a 7-character code with the given conditions, we need to place even digits at even positions and odd digits at odd positions. We can use the digits 1-9 with repetition allowed.
Solution:
- Determine the number of ways to choose even digits:
- There are 5 even digits (2, 4, 6, 8) available.
- The even positions in the code are 2nd, 4th, and 6th.
- Therefore, the number of ways to choose even digits = 5 * 5 * 5 = (5)^3
- Determine the number of ways to choose odd digits:
- There are 4 odd digits (1, 3, 5, 7, 9) available.
- The odd positions in the code are 1st, 3rd, 5th, and 7th.
- Therefore, the number of ways to choose odd digits = 4 * 4 * 4 * 4 = (4)^4
- Calculate the total number of codes:
- To find the total number of codes, we multiply the number of ways to choose even digits and odd digits.
- Total number of codes = (5)^3 * (4)^4 = (5)^4 * (4)^3
Therefore, the correct answer is option (C) (5)^4 * (4)^3.
To form a 7-character code with the given conditions, we need to place even digits at even positions and odd digits at odd positions. We can use the digits 1-9 with repetition allowed.
Solution:
- Determine the number of ways to choose even digits:
- There are 5 even digits (2, 4, 6, 8) available.
- The even positions in the code are 2nd, 4th, and 6th.
- Therefore, the number of ways to choose even digits = 5 * 5 * 5 = (5)^3
- Determine the number of ways to choose odd digits:
- There are 4 odd digits (1, 3, 5, 7, 9) available.
- The odd positions in the code are 1st, 3rd, 5th, and 7th.
- Therefore, the number of ways to choose odd digits = 4 * 4 * 4 * 4 = (4)^4
- Calculate the total number of codes:
- To find the total number of codes, we multiply the number of ways to choose even digits and odd digits.
- Total number of codes = (5)^3 * (4)^4 = (5)^4 * (4)^3
Therefore, the correct answer is option (C) (5)^4 * (4)^3.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer?
Question Description
A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer?.
A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer?.
Solutions for A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 7-character code is such that only even digits occur at even places and only odd digits occur at odd places, e.g. 1436789. How many such codes can be made from digits 1-9, if repetition of digits is allowed?a)(5)4 × (5)3b)(4)4 × (5)3c)(5)4 × (4)3d)(5)4 × (4)5Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup