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.
In how many different ways can the letters of the word “STUDENT” be arranged?
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In how many different ways can the letters of the word “APPLE” be arranged?
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In how many different ways can the letters of the word “LEARNER” be arranged?
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In how many different ways can the letters of the word “DANGER” be arranged?
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In how many different ways can the letters of the word “LAPTOP” be arranged?
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In how many different ways can the letters of the word “INDIA” be arranged?
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In how many different ways can the letters of the word “BOLLYWOOD” be arranged?
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How many different ways can be formed by using all the letters of the words “FEBRUARY” so that the vowels always come together?
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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.
How many different ways can be formed by using all the letters of the words “COMPUTER” so that the vowels always come together?
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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.
How many different ways can be formed by using all the letters of the words “SISTER” so that the vowels always come together?
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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.
How many different ways can be formed by using all the letters of the words “KEYBOARD” so that the vowels always come together?
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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.
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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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)
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i find it awsme
i watched your lessons in youtube i liked so….
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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
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