JEE Exam  >  JEE Questions  >  The letters of the word ‘SOCIETY’... Start Learning for Free
The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained is
  • a)
    4! × 3!
  • b)
    7!
  • c)
    2 × 4! × 3!
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The letters of the word ‘SOCIETY’ are arranged in such a m...
Explanation:

Given Word:
SOCIETY

Arranging Vowels and Consonants Alternately:
1. Start with the vowels - O, I, E
2. Now, place the consonants - S, C, T, Y
3. The arrangement would be V-C-V-C-V-C-V

Number of Ways to Arrange Vowels:
3! = 6 ways (3 vowels can be arranged in 3! ways)

Number of Ways to Arrange Consonants:
4! = 24 ways (4 consonants can be arranged in 4! ways)

Total Number of Different Words:
6 (vowels) * 24 (consonants) = 144

However, the consonants can also be arranged in 4! ways:
So, the total number of different words = 144 / 4! = 144 / 24 = 6 ways
Therefore, the number of different words obtained by arranging the letters of the word 'SOCIETY' such that vowels and consonants occur alternately is 6 ways, which is equal to 4! * 3!. Hence, the correct answer is option A.
Explore Courses for JEE exam
The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. 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 The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained isa)4!×3!b)7!c)2×4!×3!d)none of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
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