How many ways are there to arrange the letters in the word "garden" with the vowels in alphabetical order?

Asked by Last Modified  

Follow 0
Answer

Please enter your answer

Tutor

As there are only 2 vowels, there will be equal no. of cases with 'a' before 'e' and 'a' after 'e'. So required no. of arrangements = 6!/2 = 360.
Comments

Tutor

360
Comments

best teaching ever maths and physics

360
Comments

Medical & Engineering Classes

360
Comments

IIT-Madras BTech Graduate & Post-Graduate

360 (6! / 2)
Comments

Native English Speaker with 32 years experience in teaching English and communication skills.

360
Comments

Teaching is my passion!!!!

360
Comments

GMAT Math Expert

Total number of ways in which we can arrange the word garden is 6! ways. Now we have 2 vowels "a" and "e". In half of the cases "a" is to the left of "e" and in the remaining half of the cases "a" is to the right of "e". So for alphabets to be in ascending order "a" should be placed towards left of "e"....
read more
Total number of ways in which we can arrange the word garden is 6! ways. Now we have 2 vowels "a" and "e". In half of the cases "a" is to the left of "e" and in the remaining half of the cases "a" is to the right of "e". So for alphabets to be in ascending order "a" should be placed towards left of "e". So total number of ways = 6!/2. read less
Comments

Don't want to over express myself, just join and feel the experience.

360
Comments

The word GARDEN has 6 letters. so, Total number of ways = 6! A & E are the two vowels in that word GARDEN . so vowels can be arranged = 2! . Therefore the required number of ways = 6! * 2! =360.
Comments

View 12 more Answers

Related Lessons

Square Of a Number Ending In 5
Let's say we want to get the square of 35 i,e 35 x 35, Take the first no ie 3,take the next number i,e 4, Multiply 3 and 4 ie 3 x 4 = 12, Place 25 after 12, So, the answer is 1225, Lets try some more, 75...

Ways to Learn Faster, Deeper, and Better Visual Aids
Every picture tells a story. Draw or sketch whatever it is you are trying to achieve. Having a concrete goal in mind helps you progress towards that goal. Brainmap it. Need to plan something? Brain maps,...

Introduction To Accounting: Part 15: Cost Concept Or Historical Cost Concept
According to the Cost Concept, an asset is recorded in the books of account at the price paid to acquire it and the cost is the basis for all subsequent accounting of the asset. Since the acquisition...

Introduction To Accounting: Part 18: Revenue Recognition Concept Or Realisation Concept
According to the Revenue Recognition Concept, revenue is considered to have been realised when a transaction has been entered into and the obligation to receive the amount has been established. It...

Google Street View Cars Are Mapping Methane Leaks
Natural gas pipeline leaks that pose a safety hazard are quickly addressed. But what about leaks too small to pose a threat? These mall leaks are often overlooked and they collectively release tons of...

Recommended Articles

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you