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the number of way the letters of the word triangle to be arranged so that the word angle will be always present is
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the number of way the letters of the word triangle to be arranged so t...
Arranging the letters of the word "triangle" with the word "angle" always present
There are a few steps we can take to solve this problem:
Step 1: Count the total number of ways to arrange the letters of "triangle"
The word "triangle" has 8 letters, so we can arrange them in 8! = 40,320 ways.
Step 2: Count the number of ways the word "angle" can appear in the arrangement
The word "angle" has 5 letters, so we can think of it as a block that we need to insert into our arrangement of "triangle".
In order for "angle" to be present, we need to choose a position for the block of letters "angle". We have 6 positions to choose from:
1. _ _ _ _ _ _ _
2. _ _ _ _ _ _ _
3. _ _ _ _ _ _ _
4. _ _ _ _ _ _ _
5. _ _ _ _ _ _ _
6. _ _ _ _ _ _ _
Once we have chosen a position for the block of letters "angle", we need to arrange the remaining 3 letters of "triangle" around it. We can arrange these 3 letters in 3! = 6 ways.
Therefore, there are 6 * 6 = 36 ways to arrange the letters of "triangle" with the word "angle" always present.
Step 3: Subtract the number of arrangements without "angle"
In order to get the number of arrangements with "angle" always present, we need to subtract the number of arrangements without "angle".
The number of arrangements without "angle" is simply the total number of arrangements of "triangle" minus the number of arrangements with "angle" present:
40,320 - 36 = 40,284
Final answer
Therefore, the number of ways to arrange the letters of "triangle" with the word "angle" always present is 36, and the number of ways to arrange the letters without "angle" is 40,284.
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the number of way the letters of the word triangle to be arranged so t...
correlation between the speed of an automobile and the distance travelled by it after applying the brakes is
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the number of way the letters of the word triangle to be arranged so that the word angle will be always present is
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the number of way the letters of the word triangle to be arranged so that the word angle will be always present is for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about the number of way the letters of the word triangle to be arranged so that the word angle will be always present is covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the number of way the letters of the word triangle to be arranged so that the word angle will be always present is.
the number of way the letters of the word triangle to be arranged so that the word angle will be always present is for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about the number of way the letters of the word triangle to be arranged so that the word angle will be always present is covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the number of way the letters of the word triangle to be arranged so that the word angle will be always present is.
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