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In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?
- a)810
- b)1440
- c)2880
- d)50400
- e)5760
Correct answer is option 'D'. Can you explain this answer?
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In how many different ways can the letters of the word "COMPUTER" be arranged?
The word "COMPUTER" has 8 letters. To find the number of ways the letters can be arranged, we use the formula for permutations of a set with repetition.
The formula for permutations of a set with repetition is given by:
n! / (n1! * n2! * ... * nk!)
Where n is the total number of items and n1, n2, ..., nk are the frequencies of each item.
In this case, there are 8 letters in total.
The letter 'C' appears once, 'O' appears once, 'M' appears once, 'P' appears once, 'U' appears once, 'T' appears once, 'E' appears once, and 'R' appears once.
So the formula becomes:
8! / (1! * 1! * 1! * 1! * 1! * 1! * 1! * 1!)
Simplifying this expression, we get:
8! / 1
Since any number divided by 1 is equal to the number itself, we can simplify further:
8!
Calculating this expression, we find:
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320
Therefore, there are 40,320 different ways the letters of the word "COMPUTER" can be arranged.
The word "COMPUTER" has 8 letters. To find the number of ways the letters can be arranged, we use the formula for permutations of a set with repetition.
The formula for permutations of a set with repetition is given by:
n! / (n1! * n2! * ... * nk!)
Where n is the total number of items and n1, n2, ..., nk are the frequencies of each item.
In this case, there are 8 letters in total.
The letter 'C' appears once, 'O' appears once, 'M' appears once, 'P' appears once, 'U' appears once, 'T' appears once, 'E' appears once, and 'R' appears once.
So the formula becomes:
8! / (1! * 1! * 1! * 1! * 1! * 1! * 1! * 1!)
Simplifying this expression, we get:
8! / 1
Since any number divided by 1 is equal to the number itself, we can simplify further:
8!
Calculating this expression, we find:
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320
Therefore, there are 40,320 different ways the letters of the word "COMPUTER" can be arranged.
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In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?a)810b)1440c)2880d)50400e)5760Correct answer is option 'D'. Can you explain this answer?
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In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?a)810b)1440c)2880d)50400e)5760Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?a)810b)1440c)2880d)50400e)5760Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?a)810b)1440c)2880d)50400e)5760Correct answer is option 'D'. Can you explain this answer?.
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