All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
GMAT Exam  >  GMAT Questions  >  In how many ways can the letters of the word ... Start Learning for Free
SaveJoin the Discussion on the App
In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?
  • a)
    480
  • b)
    576
  • c)
    720
  • d)
    960
  • e)
    2880
Correct answer is option 'E'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Most Upvoted Answer
In how many ways can the letters of the word "COMPUTER" be a...
To arrange the letters of the word "COMPUTER" such that vowels occupy the even positions, we can follow the steps you mentioned:
  1. Identify the vowels in the word "COMPUTER": O, U, and E.
  2. There are 3 vowels, so there are 3 possible choices for the even positions.
  3. The remaining 5 consonants (C, M, P, T, R) will occupy the odd positions.
  4. There are 5 consonants, so there are 5 possible choices for the odd positions.
  5. We need to multiply the number of choices for even positions by the number of choices for odd positions to get the total number of arrangements.
Number of choices for even positions = 4P3 = 4! / (4 - 3)! = 4 × 3 × 2 = 24
Number of choices for odd positions = 5!
Total number of arrangements = Number of choices for even positions × Number of choices for odd positions = 24 × 120 = 2880
Therefore, the correct number of ways to arrange the letters in the word "COMPUTER" if the vowels occupy the even positions is 2880.
The correct answer is (E) 2880.
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
In how many ways can the letters of the word "COMPUTER" be a...
"WORD" be arranged?

The word "WORD" has 4 letters, so we can arrange them in 4! = 4 x 3 x 2 x 1 = 24 ways.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
< Previous Question Next Question >
Explore Courses for GMAT exam

Similar GMAT Doubts

Direction:Read the following Passage and Answer the following Question.In the world of modern technology, the race to develop quantum computers has become the new gold rush. While classical computers have driven the digital age, quantum computers hold the promise of solving problems beyond the reach of classical systems. This race, however, is not just about technological superiority; its a strategic chess game involving national pride and potential economic supremacy.The United States and China have emerged as the front-runners in this race. The U.S., with its long history of technological innovation, has poured billions into research and development. Silicon Valley giants like Google and IBM are in a fierce competition to build the first fully functional quantum computer. On the other hand, Chinas ambitious national strategy has led to significant advancements, including the launch of the worlds first quantum satellite.At the heart of this competition lies the principle of quantum supremacy - the point at which a quantum computer can perform a calculation that is impossible for a classical computer. Achieving this would not only be a scientific breakthrough but also have profound implications for cybersecurity, as quantum computers can potentially break many of the encryption methods currently in use.Despite the excitement, there are skeptics who question the practicality of quantum computing. They argue that these computers are incredibly sensitive to environmental factors and require extreme conditions to function, such as near-absolute zero temperatures. Moreover, the technology is still in its infancy, and real-world applications are years, if not decades, away.As the race continues, one thing is certain: the arrival of quantum computing will mark a new era in the technological landscape, reshaping industries and possibly redefining global power dynamics.Q.Based on the passage, which of the following can be inferred about quantum computers compared to classical computers?

Direction:Read the following Passage and Answer the following Question.In the world of modern technology, the race to develop quantum computers has become the new gold rush. While classical computers have driven the digital age, quantum computers hold the promise of solving problems beyond the reach of classical systems. This race, however, is not just about technological superiority; its a strategic chess game involving national pride and potential economic supremacy.The United States and China have emerged as the front-runners in this race. The U.S., with its long history of technological innovation, has poured billions into research and development. Silicon Valley giants like Google and IBM are in a fierce competition to build the first fully functional quantum computer. On the other hand, Chinas ambitious national strategy has led to significant advancements, including the launch of the worlds first quantum satellite.At the heart of this competition lies the principle of quantum supremacy - the point at which a quantum computer can perform a calculation that is impossible for a classical computer. Achieving this would not only be a scientific breakthrough but also have profound implications for cybersecurity, as quantum computers can potentially break many of the encryption methods currently in use.Despite the excitement, there are skeptics who question the practicality of quantum computing. They argue that these computers are incredibly sensitive to environmental factors and require extreme conditions to function, such as near-absolute zero temperatures. Moreover, the technology is still in its infancy, and real-world applications are years, if not decades, away.As the race continues, one thing is certain: the arrival of quantum computing will mark a new era in the technological landscape, reshaping industries and possibly redefining global power dynamics.Q. Which of the following titles best encapsulates the main idea of the passage?

Top Courses for GMATView all

Top Courses for GMAT

In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer?
Question Description
In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer?.
Solutions for In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer?, a detailed solution for In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In how many ways can the letters of the word "COMPUTER" be arranged if vowels occupy the even positions?a)480b)576c)720d)960e)2880Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© 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