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In how many ways can a coach select a 4-person university team from a pool of eligible candidates?
(1) The number of eligible candidates is three times as great as the number of slots on the team.
(2) 60% of the 20 athletes are eligible to play on the four-person university team.
(2) 60% of the 20 athletes are eligible to play on the four-person university team.
- 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 'D'. Can you explain this answer?
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In how many ways can a coach select a 4-person university team from a ...
Statement (1): The number of eligible candidates is three times as great as the number of slots on the team.
Let's denote the number of eligible candidates as N. According to statement (1), N = 3 × 4 = 12. In this case, there are 12 eligible candidates competing for 4 slots on the team. The number of ways to select a 4-person team from 12 eligible candidates can be calculated using the combination formula: C(12, 4) = 12! / (4! × (12-4)!) = 495.
Statement (2): 60% of the 20 athletes are eligible to play on the four-person university team.
Let's denote the number of eligible athletes as E. According to statement (2), E = 60% of 20 = 0.6 × 20 = 12. Here, we know the number of eligible athletes but don't have any information about the total number of candidates. We cannot determine the number of ways to select a 4-person team solely based on statement (2) since we don't know the total number of candidates.
Combining both statements, we have N = 12 and E = 12. Both statements provide the same information, so together they are redundant. We can use statement (1) alone to determine the number of ways to select a 4-person university team, which is 495. Therefore, the answer is D: EACH statement ALONE is sufficient to answer the question asked.
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In how many ways can a coach select a 4-person university team from a pool of eligible candidates?(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.a)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 'D'. Can you explain this answer?
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In how many ways can a coach select a 4-person university team from a pool of eligible candidates?(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.a)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 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In how many ways can a coach select a 4-person university team from a pool of eligible candidates?(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.a)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can a coach select a 4-person university team from a pool of eligible candidates?(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.a)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 'D'. Can you explain this answer?.
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.a)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 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In how many ways can a coach select a 4-person university team from a pool of eligible candidates?(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.a)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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can a coach select a 4-person university team from a pool of eligible candidates?(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.a)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 'D'. Can you explain this answer?.
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