Menu
Popular Courses
Search
Question
Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?
Options:
A .  720
B .  1440
C .  1860
D .  2160
Answer: Option B
IN THE WORD, “MATERIAL” THERE ARE THREE VOWELS A, I, E.
IF ALL THE VOWELS ARE TOGETHER, THE ARRANGEMENT IS MTRL’AAEI’.
CONSIDER AAEI AS ONE UNIT. THE ARRANGEMENT IS AS FOLLOWS.
M T R L A A E I
THE ABOVE 5 ITEMS CAN BE ARRANGED IN 5! WAYS AND AAEI CAN BE ARRANGED AMONG THEMSELVES IN 4!/2! WAYS.
NUMBER OF REQUIRED WAYS OF ARRANGING THE ABOVE LETTERS = 5! * 4!/2!
= (120 * 24)/2 = 1440 WAYS.

Was this answer helpful ?
Next Question

Submit Comment/FeedBack

Your email address will not be published. Required fields are marked *

Share this page with your friends!

Latest Videos

Chapter 1 - GLOBAL STEEL SCENARIO & INDI Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)
Direction Sense Test Part 1 Reasoning (Hindi)
Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE
Cube & Cuboid Part 1 Reasoning (Hindi)
Data Interpretation (DI) Basic Concept Reasoning (Hindi)
Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)
Real Numbers Part 7 Class 10 Maths
Real Numbers Part 1 Class 10 Maths
Polynomials Part 1 Class 10 Maths

Latest Test Papers

Chapter 3.1 : Overview of Finance & Acco Chapter 3 : Finance & Accounts SAIL E0 - GFM 2024
Chapter 2.1 : Overview Chapter 2 : Materials Management SAIL E0 - GFM 2024
Chapter 1.1 : Personnel Functions- An ov Chapter 1 : Personnel Management SAIL E0 - GFM 2024
GPOE / GPA Combined 1 Free CBT Mock Test SAIL E0 2024
CBT Mixed Test 1 GPOE/GPA SAIL E0 2024