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Given below are two statements.
Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.
Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.
Which of the following is correct?
- a)Both statement 1 and 2 are correct.
- b)Both statement 1 and 2 are incorrect.
- c)Statement 1 is correct but statement 2 is incorrect.
- d)Statement 1 is false but statement 2 is true.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Given below are two statements.Statement 1: There are 8 bikes, 4 cars...
Statement 1
The three types of vehicles can be arranged in 3! ways.
8 bikes can be arranged in 8! ways.
4 cars can be arranged in 4! ways.
4 cycles can be arranged in 4! ways.
Hence, required number of ways = 3! 8! 4! 4! ways.
Statement 2:
In word BEGINNER, there are 3 vowels and 5 consonants.
Total number of letters = 8
If both 'N's are placed together,
Total number of ways in which we can form word, so that both 'N's can be written together = 7!2!/2! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
So, only statement 1 is correct.
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Community Answer
Given below are two statements.Statement 1: There are 8 bikes, 4 cars...
Statement 1:
There are 8 bikes, 4 cars, and 4 cycles arranged in a row. The total number of arranging all bikes, all cars, and all cycles together is 3! 8! 4! 4! ways.
- The total number of ways to arrange all bikes, all cars, and all cycles together can be calculated by multiplying the factorial of the number of each type of vehicle.
- Therefore, the total number of ways = 3! * 8! * 4! * 4! = 6 * 40320 * 24 * 24 = 110,592,000 ways.
Statement 2:
Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.
- To calculate the total number of ways in which we can form words from 'BEGINNER' with both 'N's together, we can consider the two 'N's as a single entity.
- Therefore, the total number of ways to arrange the letters in 'BEGINNER' with both 'N's together is (7! / 2!) * 2! = 720 ways.
Explanation:
- Statement 1 is correct as it provides the accurate calculation of the total number of ways to arrange all bikes, cars, and cycles together.
- Statement 2 is also correct as it accurately calculates the total number of ways to form words from 'BEGINNER' with both 'N's together.
- Hence, the correct option is 'C' where Statement 1 is correct, but Statement 2 is incorrect.
There are 8 bikes, 4 cars, and 4 cycles arranged in a row. The total number of arranging all bikes, all cars, and all cycles together is 3! 8! 4! 4! ways.
- The total number of ways to arrange all bikes, all cars, and all cycles together can be calculated by multiplying the factorial of the number of each type of vehicle.
- Therefore, the total number of ways = 3! * 8! * 4! * 4! = 6 * 40320 * 24 * 24 = 110,592,000 ways.
Statement 2:
Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.
- To calculate the total number of ways in which we can form words from 'BEGINNER' with both 'N's together, we can consider the two 'N's as a single entity.
- Therefore, the total number of ways to arrange the letters in 'BEGINNER' with both 'N's together is (7! / 2!) * 2! = 720 ways.
Explanation:
- Statement 1 is correct as it provides the accurate calculation of the total number of ways to arrange all bikes, cars, and cycles together.
- Statement 2 is also correct as it accurately calculates the total number of ways to form words from 'BEGINNER' with both 'N's together.
- Hence, the correct option is 'C' where Statement 1 is correct, but Statement 2 is incorrect.
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Given below are two statements.Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.Which of the following is correct?a)Both statement 1 and 2 are correct.b)Both statement 1 and 2 are incorrect.c)Statement 1 is correct but statement 2 is incorrect.d)Statement 1 is false but statement 2 is true.Correct answer is option 'C'. Can you explain this answer?
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Given below are two statements.Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.Which of the following is correct?a)Both statement 1 and 2 are correct.b)Both statement 1 and 2 are incorrect.c)Statement 1 is correct but statement 2 is incorrect.d)Statement 1 is false but statement 2 is true.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Given below are two statements.Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.Which of the following is correct?a)Both statement 1 and 2 are correct.b)Both statement 1 and 2 are incorrect.c)Statement 1 is correct but statement 2 is incorrect.d)Statement 1 is false but statement 2 is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements.Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.Which of the following is correct?a)Both statement 1 and 2 are correct.b)Both statement 1 and 2 are incorrect.c)Statement 1 is correct but statement 2 is incorrect.d)Statement 1 is false but statement 2 is true.Correct answer is option 'C'. Can you explain this answer?.
Given below are two statements.Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.Which of the following is correct?a)Both statement 1 and 2 are correct.b)Both statement 1 and 2 are incorrect.c)Statement 1 is correct but statement 2 is incorrect.d)Statement 1 is false but statement 2 is true.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Given below are two statements.Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.Which of the following is correct?a)Both statement 1 and 2 are correct.b)Both statement 1 and 2 are incorrect.c)Statement 1 is correct but statement 2 is incorrect.d)Statement 1 is false but statement 2 is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements.Statement 1: There are 8 bikes, 4 cars and 4 cycles arranged in a row. The total number of arranging all bikes, all cars and all cycles together is 3! 8! 4! 4! ways.Statement 2: Total number of ways in which we can form words from 'BEGINNER', so that both 'N's can be written together is 720 ways.Which of the following is correct?a)Both statement 1 and 2 are correct.b)Both statement 1 and 2 are incorrect.c)Statement 1 is correct but statement 2 is incorrect.d)Statement 1 is false but statement 2 is true.Correct answer is option 'C'. Can you explain this answer?.
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