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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. S = {1, 2, 3, 4, 5, 6, 7, 8}
Quantity A - The number of 4-member subsets of S
Quantity B - The number of 5-member subsets of S
- a)Quantity A is greater.
- b)Quantity B is greater
- c)The two quantities are equal.
- d)The relationship cannot be determined from the information given.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Explanation:
Number of 4-member subsets of S:
- To calculate the number of 4-member subsets of S, we need to use the formula for combinations, which is given by nCr = n! / r!(n-r)!
- In this case, n = 8 (total number of elements in set S) and r = 4 (number of elements in each subset)
- Therefore, the number of 4-member subsets of S is 8C4 = 8! / 4!(8-4)! = 70
Number of 5-member subsets of S:
- Similarly, to calculate the number of 5-member subsets of S, we use the formula for combinations
- In this case, n = 8 and r = 5
- Therefore, the number of 5-member subsets of S is 8C5 = 8! / 5!(8-5)! = 56
Comparison:
- Quantity A (70) is greater than Quantity B (56)
- Therefore, the answer is that Quantity A is greater.
Number of 4-member subsets of S:
- To calculate the number of 4-member subsets of S, we need to use the formula for combinations, which is given by nCr = n! / r!(n-r)!
- In this case, n = 8 (total number of elements in set S) and r = 4 (number of elements in each subset)
- Therefore, the number of 4-member subsets of S is 8C4 = 8! / 4!(8-4)! = 70
Number of 5-member subsets of S:
- Similarly, to calculate the number of 5-member subsets of S, we use the formula for combinations
- In this case, n = 8 and r = 5
- Therefore, the number of 5-member subsets of S is 8C5 = 8! / 5!(8-5)! = 56
Comparison:
- Quantity A (70) is greater than Quantity B (56)
- Therefore, the answer is that Quantity A is greater.
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Community Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Recall that the number of r-member subsets of a set with n members is equal to 
. So Quantity A is equal to 
Similarly, Quantity B is equal to 
. So Quantity A is equal to Similarly, Quantity B is equal to Thus the correct answer is Choice A.
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?
Question Description
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?.
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. S = {1, 2, 3, 4, 5, 6, 7, 8}Quantity A - The number of 4-member subsets of SQuantity B - The number of 5-member subsets of Sa)Quantity A is greater.b)Quantity B is greaterc)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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