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A certain panel is to be composed of exactly three women and exactly two men, chosen from x women and y men. How many different panels can be formed with these constraints?
(1) If two more women were available for selection, exactly 56 different groups of three women could be selected.
(2) x = y + 1
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A certain panel is to be composed of exactly three women and exactly t...
Statement (1): If two more women were available for selection, exactly 56 different groups of three women could be selected.
From this statement, we know that if two more women were available, there would be exactly 56 different groups of three women that could be selected. However, this statement alone does not provide information about the number of men or how the men and women should be combined to form panels. Therefore, Statement (1) alone is not sufficient to answer the question.
Statement (2): x = y + 1
This statement tells us that the number of women, x, is equal to the number of men plus one, y + 1. This gives us a relationship between the number of women and the number of men available. However, it does not provide information about the total number of women and men or how the panels should be formed. Therefore, Statement (2) alone is not sufficient to answer the question.
When we consider both statements together, we have some additional information. From Statement (1), we know that if two more women were available, exactly 56 different groups of three women could be selected. Combining this with Statement (2), which states that x = y + 1, we can determine that the total number of women available is x = 56 + 2 = 58 and the total number of men available is y = 58 - 1 = 57. With this information, we can calculate the number of different panels that can be formed by choosing three women and two men from the given numbers. The calculation would be the combination of 58 choose 3 (C(58, 3)) multiplied by the combination of 57 choose 2 (C(57, 2)). This will give us the number of different panels that can be formed with the given constraints.
Therefore, both statements (1) and (2) together are sufficient to answer the question asked, but neither statement alone is sufficient. The answer is C: BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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A certain panel is to be composed of exactly three women and exactly two men, chosen from x women and y men. How many different panels can be formed with these constraints?(1) If two more women were available for selection, exactly 56 different groups of three women could be selected.(2) x = y + 1a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
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A certain panel is to be composed of exactly three women and exactly two men, chosen from x women and y men. How many different panels can be formed with these constraints?(1) If two more women were available for selection, exactly 56 different groups of three women could be selected.(2) x = y + 1a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 certain panel is to be composed of exactly three women and exactly two men, chosen from x women and y men. How many different panels can be formed with these constraints?(1) If two more women were available for selection, exactly 56 different groups of three women could be selected.(2) x = y + 1a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 certain panel is to be composed of exactly three women and exactly two men, chosen from x women and y men. How many different panels can be formed with these constraints?(1) If two more women were available for selection, exactly 56 different groups of three women could be selected.(2) x = y + 1a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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