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In how many ways the letters of the word 'ARRANGE' be arranged?
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In how many ways the letters of the word 'ARRANGE' be arranged?
Calculation of permutations of the word 'ARRANGE'
To calculate the number of ways the letters of the word 'ARRANGE' can be arranged, we need to use the formula for permutations.
Formula: n!/(n-r)!
Where n is the total number of objects and r is the number of objects being selected.
Steps to calculate permutations:
1. Count the number of letters in the word 'ARRANGE'.
Therefore, the total number of objects (n) is 8.
2. Determine the number of objects being selected (r). In this case, we are selecting all the letters in the word 'ARRANGE', so r is also 8.
3. Substitute the values of n and r into the formula for permutations.
Therefore, there are 40,320 ways the letters of the word 'ARRANGE' can be arranged.
Conclusion:
The word 'ARRANGE' can be arranged in 40,320 ways, using the formula for permutations.
To calculate the number of ways the letters of the word 'ARRANGE' can be arranged, we need to use the formula for permutations.
Formula: n!/(n-r)!
Where n is the total number of objects and r is the number of objects being selected.
Steps to calculate permutations:
1. Count the number of letters in the word 'ARRANGE'.
- A - 2
- R - 2
- N - 1
- G - 1
- E - 1
Therefore, the total number of objects (n) is 8.
2. Determine the number of objects being selected (r). In this case, we are selecting all the letters in the word 'ARRANGE', so r is also 8.
3. Substitute the values of n and r into the formula for permutations.
- n!/(n-r)! = 8!/(8-8)! = 8!/0! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320
Therefore, there are 40,320 ways the letters of the word 'ARRANGE' can be arranged.
Conclusion:
The word 'ARRANGE' can be arranged in 40,320 ways, using the formula for permutations.
Community Answer
In how many ways the letters of the word 'ARRANGE' be arranged?
ARRANGE can be arranged as:
A=2 , R=2 ,
permutation by division
total letters=7
ans: 7!/2! 2!
5040/4*4
315
In 315 ways word "ARRANGE"can be arranged
A=2 , R=2 ,
permutation by division
total letters=7
ans: 7!/2! 2!
5040/4*4
315
In 315 ways word "ARRANGE"can be arranged
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In how many ways the letters of the word 'ARRANGE' be arranged?
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In how many ways the letters of the word 'ARRANGE' be arranged? 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 In how many ways the letters of the word 'ARRANGE' be arranged? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways the letters of the word 'ARRANGE' be arranged?.
In how many ways the letters of the word 'ARRANGE' be arranged? 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 In how many ways the letters of the word 'ARRANGE' be arranged? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways the letters of the word 'ARRANGE' be arranged?.
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