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A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
- a)42
- b)210
- c)420
- d)840
- e)5040
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A code is to be made by arranging 7 letters. Three of the letters used...
Step 1: Analyze the Question :- We have to make a seven-letter code, but some of our letters are repeated. We have three As two Bs, one C, and one D. We have to calculate the possible number of different codes.
Step 2: State the Task :- We'll calculate the number of permutations, remembering to take the repeated letters into account.
Step 3: Approach Strategically :- To calculate the number of permutations where some of the elements are indistinguishable, we'll divide the total number of permutations by the factorial of the number of indistinguishable elements.
So we have :-
Most Upvoted Answer
A code is to be made by arranging 7 letters. Three of the letters used...
7factorial/ 3factorial into 2factorial and here 7 7 factorial is total no of possible codes without repeating letter then we will devide it by the factorial of no of repeated letters
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Community Answer
A code is to be made by arranging 7 letters. Three of the letters used...
Explanation:
Arranging the letters:
- There are 7 letters in total to be arranged.
- Out of these 7 letters, 3 are A's, 2 are B's, 1 is C, and 1 is D.
- Therefore, the total number of ways to arrange these 7 letters is 7!/(3! * 2! * 1! * 1!) = 420.
Therefore, the correct answer is option C) 420.
Arranging the letters:
- There are 7 letters in total to be arranged.
- Out of these 7 letters, 3 are A's, 2 are B's, 1 is C, and 1 is D.
- Therefore, the total number of ways to arrange these 7 letters is 7!/(3! * 2! * 1! * 1!) = 420.
Therefore, the correct answer is option C) 420.
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A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer?.
A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer?.
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A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?a)42b)210c)420d)840e)5040Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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