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The letters of the words CALCUTTA and AMERICA are arranged in all possible ways.The ratio of the number of there arrangements is
- a)1 : 2
- b)2 : 1
- c)2 : 2
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The letters of the words CALCUTTA and AMERICA are arranged in all poss...
Arrangements of CALCUTTA:
- The word CALCUTTA has 8 letters.
- The number of ways to arrange 8 letters is 8! = 40,320.
Arrangements of AMERICA:
- The word AMERICA has 7 letters.
- The number of ways to arrange 7 letters is 7! = 5,040.
Ratio of arrangements:
- The ratio of the number of arrangements of CALCUTTA to AMERICA is 40,320/5,040 = 8/1.
- Simplifying the ratio gives 2/1.
Therefore, the correct answer is option B) 2 : 1.
- The word CALCUTTA has 8 letters.
- The number of ways to arrange 8 letters is 8! = 40,320.
Arrangements of AMERICA:
- The word AMERICA has 7 letters.
- The number of ways to arrange 7 letters is 7! = 5,040.
Ratio of arrangements:
- The ratio of the number of arrangements of CALCUTTA to AMERICA is 40,320/5,040 = 8/1.
- Simplifying the ratio gives 2/1.
Therefore, the correct answer is option B) 2 : 1.
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Community Answer
The letters of the words CALCUTTA and AMERICA are arranged in all poss...
The given words are CALCUTTA and AMERICA.
Total number of letters in CALCUTTA = 8
Total number of letters in AMERICA = 7
Therefore, the total number of arrangements possible for CALCUTTA and AMERICA can be calculated as follows:
Number of arrangements for CALCUTTA = 8!
Number of arrangements for AMERICA = 7!
To find the ratio of the number of arrangements, we can simply divide the two values:
Ratio = (8!)/(7!) = 8
Therefore, the ratio of the number of arrangements of CALCUTTA to AMERICA is 8:1, which means that for every 8 arrangements of CALCUTTA, there is only 1 arrangement of AMERICA.
Hence, the correct answer is option B, 2:1.
Total number of letters in CALCUTTA = 8
Total number of letters in AMERICA = 7
Therefore, the total number of arrangements possible for CALCUTTA and AMERICA can be calculated as follows:
Number of arrangements for CALCUTTA = 8!
Number of arrangements for AMERICA = 7!
To find the ratio of the number of arrangements, we can simply divide the two values:
Ratio = (8!)/(7!) = 8
Therefore, the ratio of the number of arrangements of CALCUTTA to AMERICA is 8:1, which means that for every 8 arrangements of CALCUTTA, there is only 1 arrangement of AMERICA.
Hence, the correct answer is option B, 2:1.
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The letters of the words CALCUTTA and AMERICA are arranged in all possible ways.The ratio of the number of there arrangements isa)1 : 2b)2 : 1c)2 : 2d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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The letters of the words CALCUTTA and AMERICA are arranged in all possible ways.The ratio of the number of there arrangements isa)1 : 2b)2 : 1c)2 : 2d)none of theseCorrect answer is option 'B'. Can you explain this answer? 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 letters of the words CALCUTTA and AMERICA are arranged in all possible ways.The ratio of the number of there arrangements isa)1 : 2b)2 : 1c)2 : 2d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The letters of the words CALCUTTA and AMERICA are arranged in all possible ways.The ratio of the number of there arrangements isa)1 : 2b)2 : 1c)2 : 2d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
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