Problems on different ways of Letter arrangement questions and answers
Now here we will discuss few question answers on different ways of Letter arrangement which are very common in competitive exams. These Letters arrangement practice question answer session will help you to prepare for your examination. Your math skills is very much needed to solve this kind of problems. Shortcut tricks can also be used to solve different ways of Letter arrangement questions.
We try to bring together all types of shortcut methods on Letters arrangement for every topic here in this website. Now you just need to apply those tricks to solve these questions. These questions can be solvable without using any shortcut methods also.
Few question on different ways of Letter arrangement will be discuss here. All you need to do is to read the question very carefully and try to solve it by yourself. Answer of this question will be provided along with examples. If you do this problem then check the solution of this question with your answer. If you don’t know how to solve this then also check below.
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Example #1 – Different ways of Letter arrangement
In how many different ways can the letters of the word “STUDENT” be arranged?
3060
4020
5040
6080
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (C)
How to Solve Total ways of arrangements is, STUDENT = 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.
Rough Workspace
Example #2 – Different ways of Letter arrangement
In how many different ways can the letters of the word “APPLE” be arranged?
120
140
160
180
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (A)
How to Solve Total ways of arrangements is, APPLE = 5! = 5 x 4 x 3 x 2 x 1 = 120.
Rough Workspace
Example #3 – Different ways of Letter arrangement
In how many different ways can the letters of the word “LEARNER” be arranged?
2020
3080
4020
5040
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (D)
How to Solve Total ways of arrangements is, LEARNER = 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.
Rough Workspace
Example #4 – Different ways of Letter arrangement
In how many different ways can the letters of the word “DANGER” be arranged?
440
580
640
720
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (D)
How to Solve Total ways of arrangements is, DANGER = 6! = 6 X 5 X 4 X 3 X 2 X 1 = 720.
Rough Workspace
Example #5 – Different ways of Letter arrangement
In how many different ways can the letters of the word “LAPTOP” be arranged?
660
720
840
980
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (B)
How to Solve Total ways of arrangements is, LAPTOP = 6! = 6 X 5 X 4 X 3 X 2 X 1 = 720.
Rough Workspace
Example #6 – Different ways of Letter arrangement
In how many different ways can the letters of the word “INDIA” be arranged?
120
180
220
240
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (A)
How to Solve Total ways of arrangements is, INDIA = 5! = 5 X 4 X 3 X 2 X 1 = 120.
Rough Workspace
Example #7
In how many different ways can the letters of the word “BOLLYWOOD” be arranged?
335640
347820
358860
362880
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (D)
How to Solve Total ways of arrangements is, BOLLYWOOD = 9! = 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1 = 362880.
Rough Workspace
Example #8
How many different ways can be formed by using all the letters of the words “FEBRUARY” so that the vowels always come together?
3560
4320
5880
6340
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (B)
How to Solve The word FEBRUARY contains 8 letters. In this word vowel letters are “EUA”, and we consider it as one single letter. So, letter be arrange as FBRRY (EUA).
We can arrange 6 letters as 6P6 or, 6! or, 6 x 5 x 4 x 3 x 2 x 1 therefore, 720 ways.
We can also arrange 3 vowel as, or, 3! or, 3 x 2 x 1 therefore, 6 ways.
So, required number of arrangements are, or, (720 x 6) therefore, 4320 ways.
Rough Workspace
Example #9
How many different ways can be formed by using all the letters of the words “COMPUTER” so that the vowels always come together?
2240
3260
4320
5780
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (C)
How to Solve The word COMPUTER contains 8 letters. In this word vowel letters are “OUE”, and we consider it as one single letter. So, letter be arrange as CMPTR (OUE).
We can arrange 6 letters as 6P6 or, 6! or, 6 x 5 x 4 x 3 x 2 x 1 therefore, 720 ways.
We can also arrange 3 vowel as, or, 3! or, 3 x 2 x 1 therefore, 6 ways.
So, required number of arrangements are, or, (720 x 6) therefore, 4320 ways.
Rough Workspace
Example #10
How many different ways can be formed by using all the letters of the words “SISTER” so that the vowels always come together?
240
280
320
360
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (A)
How to Solve The word SISTER contains 6 letters. In this word vowel letters are “IE”, and we consider it as one single letter. So, letter be arrange as SSTR (IE).
We can arrange 5 letters as 5P5 or, 5! or, 5 x 4 x 3 x 2 x 1 therefore, 120 ways.
We can also arrange 2 vowel as, or, 2! or, 2×1 therefore, 2 ways.
So, required number of arrangements are, or, (120 x 2) therefore, 240 ways.
Rough Workspace
Example #11
How many different ways can be formed by using all the letters of the words “KEYBOARD” so that the vowels always come together?
3440
4320
5460
6580
Show AnswerShow How to SolveOpen Rough Workspace
Answer: Option (B)
How to Solve The word KEYBOARD contains 8 letters. In this word vowel letters are “EOA”, and we consider it as one single letter. So, letter be arrange as KYBRD (EOA).
We can arrange 6 letters as 6P6 or, 6! or, 6 x 5 x 4 x 3 x 2 x 1 therefore, 720 ways.
We can also arrange 3 vowel as, or, 3! or, 3 x 2 x 1 therefore, 6 ways.
So, required number of arrangements are, or, (720 x 6) therefore, 4320 ways.
Rough Workspace
Answer of this question is provided along with this examples. Scroll down to see the answer. You can take as much time as you need to answer the question. But try to solve this as quicker as you can.
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We at Math-Shortcut-Tricks.com are always try to put accurate data, but few pages of the site may contain some incorrect data in it. We do not assume any liability or responsibility for any errors or mistakes in those pages. Visitors are requested to check correctness of a page by their own.
Please explain Letter
LEARNER
5*4*3*2*1= 120
3*2*1= 6
120*6= 720
please say me the different arrangement of letters solutions because i just confused in that……..
the solution given is without repitation.if you want with repitation you have to divide with factorial(each repited character)
send me ur no i will sent a no of tricks to u
i find it awsme
i watched your lessons in youtube i liked so….
great a part of ur
i likes this site and helpful to my home preparation.and u send me new trick my email id for my preparation.
Sir You can increase the content with different models
there are many models except these.
Problem 1 . STUDENT
T comes twice so
S-1!
T-2!
U-1!
D-1!
E-1!
N-1!
7!/2!
7x6x5x4x3x2x1
——————–
2×1
=7x6x5x4x3 -> 2520
Disclaimer:
All contents of this website is fully owned by Math-Shortcut-Tricks.com. Any means of republish its content is strictly prohibited. We at Math-Shortcut-Tricks.com are always try to put accurate data, but few pages of the site may contain some incorrect data in it. We do not assume any liability or responsibility for any errors or mistakes in those pages. Visitors are requested to check correctness of a page by their own.