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How many different subcommittees can be formed among the six members of the housing committee?
(1) All subcommittees must have at least two members.
(2) Any combination of members is acceptable except those with 1 member.
  • 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?
Most Upvoted Answer
How many different subcommittees can be formed among the six members o...
Statement (1): All subcommittees must have at least two members.
This statement indicates that each subcommittee must consist of at least two members. With this restriction, we can count the number of subcommittees by considering all possible group sizes from 2 to 6 members.
Statement (2): Any combination of members is acceptable except those with 1 member.
This statement tells us that all combinations of committee members are acceptable, except for those with only 1 member. It implies that subcommittees can be formed with any number of members greater than or equal to 2.
When we consider each statement alone:
  • Statement (1) alone is sufficient to determine the number of subcommittees because it specifies the minimum group size required. By considering all possible group sizes from 2 to 6, we can calculate the number of subcommittees.
  • Statement (2) alone is also sufficient because it allows for any combination of members except those with 1 member. This means that subcommittees can be formed with any number of members greater than or equal to 2.
Therefore, each statement alone is sufficient to answer the question asked. The answer is D.
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How many different subcommittees can be formed among the six members of the housing committee?(1) All subcommittees must have at least two members.(2) Any combination of members is acceptable except those with 1 member.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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How many different subcommittees can be formed among the six members of the housing committee?(1) All subcommittees must have at least two members.(2) Any combination of members is acceptable except those with 1 member.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 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about How many different subcommittees can be formed among the six members of the housing committee?(1) All subcommittees must have at least two members.(2) Any combination of members is acceptable except those with 1 member.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 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different subcommittees can be formed among the six members of the housing committee?(1) All subcommittees must have at least two members.(2) Any combination of members is acceptable except those with 1 member.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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