Problems on different ways of Letter arrangement questions and answers


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.

Every page of this section is contain a question on different ways of Letter arrangement with its detail explanation. Next/Previous link will help you to navigate through other questions. Let’s starts the Question Answer session.

 

 


Example #1

In how many different ways can the letters of the word “STUDENT” be arranged?

  1. 3060
  2. 4020
  3. 5040
  4. 6080

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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

In how many different ways can the letters of the word “APPLE” be arranged?

  1. 120
  2. 140
  3. 160
  4. 180

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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

In how many different ways can the letters of the word “LEARNER” be arranged?

  1. 2020
  2. 3080
  3. 4020
  4. 5040

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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

In how many different ways can the letters of the word “DANGER” be arranged?

  1. 440
  2. 580
  3. 640
  4. 720

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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

In how many different ways can the letters of the word “LAPTOP” be arranged?

  1. 660
  2. 720
  3. 840
  4. 980

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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

In how many different ways can the letters of the word “INDIA” be arranged?

  1. 120
  2. 180
  3. 220
  4. 240

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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?

  1. 335640
  2. 347820
  3. 358860
  4. 362880

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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?

  1. 3560
  2. 4320
  3. 5880
  4. 6340

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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
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 720 ways.

We can also arrange 3 vowel as,
= 3!
= 3 x 2 x 1
= 6 ways.

So, required number of arrangements are,
= (720 x 6)
= 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?

  1. 2240
  2. 3260
  3. 4320
  4. 5780

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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
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 720 ways.

We can also arrange 3 vowel as,
= 3!
= 3 x 2 x 1
= 6 ways.

So, required number of arrangements are,
= (720 x 6)
= 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?

  1. 240
  2. 280
  3. 320
  4. 360

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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
= 5!
= 5 x 4 x 3 x 2 x 1
= 120 ways.

We can also arrange 2 vowel as,
= 2!
= 2×1
= 2 ways.

So, required number of arrangements are,
= (120 x 2)
= 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?

  1. 3440
  2. 4320
  3. 5460
  4. 6580

Show Answer Show How to Solve Open 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
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 720 ways.

We can also arrange 3 vowel as,
= 3!
= 3 x 2 x 1
= 6 ways.

So, required number of arrangements are,
= (720 x 6)
= 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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9 comments

  1. vivek rajput says:

    i likes this site and helpful to my home preparation.and u send me new trick my email id for my preparation.

  2. vijay says:

    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

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