0 votes
40 views
in Combinatorics and Mathematical Induction by (15 points)
edited by

How many strings can be formed from the letters of the word ARTICLE, so that vowels occupy the even places?

Please log in or register to answer this question.

1 Answer

0 votes
by (18.8k points)

ARTICLE

Vowels A, I, E = 3

Total number of places = 7

1 2 3 4 5 6 7

Number of even places = 3

3 Vowels can occupy 3 places in 3! = 3 × 2 × 1 = 6 ways

Then the remaining 4 letters can be arranged in 4! ways

So total number of arrangement = 3! × 4! = 6 × 24 = 144 ways

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...