Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
66 views
in Mathematics by (237k points)
closed by
In how many ways the word ASSASSIN can be arranged so that the vowels always comes together?
1. 90
2. 92
3. 84
4. 86
5. 80

1 Answer

0 votes
by (239k points)
selected by
 
Best answer
Correct Answer - Option 1 : 90

Given:

The word is ASSASSIN containing 3 vowels and 5 consonants.

Calculation:

If vowels come together, we can assume the three vowels as one single letter.

In that case, number of letters in the word = 5 + 1 = 6

Number of ways that can be arranged = 6! / 4! [It contains 4 ‘S’s]

Number of ways the vowels can be arranged between themselves = 3! / 2! [It has 2 ‘A’s]

Required number of ways = 6! / 4! × 3! / 2! = 90 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.

Categories

...