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A club has 15 members; 12 of them being married couples and 3 being unmarried. These members have decided to form a leadership board in the club which consists of 4 members: President, Vice-president, Public Relations Officer and General Manager. The Public Relations Officer is to be selected from the unmarried members. For all the other positions, the member selected has to be married. However, one couple decides that they both together will not be a part of the leadership board. In how many ways can the board be formed?
  • a)
    3 × (2 × 10C2 × 3! + 10C3 × 3!)
  • b)
    3 × (2 × 10C2 × 3!)
  • c)
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
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A club has 15 members; 12 of them being married couples and 3 being unmarried. These members have decided to form a leadership board in the club which consists of 4 members: President, Vice-president, Public Relations Officer and General Manager. The Public Relations Officer is to be selected from the unmarried members. For all the other positions, the member selected has to be married. However, one couple decides that they both together will not be a part of the leadership board. In how many ways can the board be formed?a)3 × (2 × 10C2 × 3! + 10C3 × 3!)b)3 × (2 × 10C2 × 3!)c)d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
Question Description
A club has 15 members; 12 of them being married couples and 3 being unmarried. These members have decided to form a leadership board in the club which consists of 4 members: President, Vice-president, Public Relations Officer and General Manager. The Public Relations Officer is to be selected from the unmarried members. For all the other positions, the member selected has to be married. However, one couple decides that they both together will not be a part of the leadership board. In how many ways can the board be formed?a)3 × (2 × 10C2 × 3! + 10C3 × 3!)b)3 × (2 × 10C2 × 3!)c)d)None of the aboveCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A club has 15 members; 12 of them being married couples and 3 being unmarried. These members have decided to form a leadership board in the club which consists of 4 members: President, Vice-president, Public Relations Officer and General Manager. The Public Relations Officer is to be selected from the unmarried members. For all the other positions, the member selected has to be married. However, one couple decides that they both together will not be a part of the leadership board. In how many ways can the board be formed?a)3 × (2 × 10C2 × 3! + 10C3 × 3!)b)3 × (2 × 10C2 × 3!)c)d)None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A club has 15 members; 12 of them being married couples and 3 being unmarried. These members have decided to form a leadership board in the club which consists of 4 members: President, Vice-president, Public Relations Officer and General Manager. The Public Relations Officer is to be selected from the unmarried members. For all the other positions, the member selected has to be married. However, one couple decides that they both together will not be a part of the leadership board. In how many ways can the board be formed?a)3 × (2 × 10C2 × 3! + 10C3 × 3!)b)3 × (2 × 10C2 × 3!)c)d)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A club has 15 members; 12 of them being married couples and 3 being unmarried. These members have decided to form a leadership board in the club which consists of 4 members: President, Vice-president, Public Relations Officer and General Manager. The Public Relations Officer is to be selected from the unmarried members. For all the other positions, the member selected has to be married. However, one couple decides that they both together will not be a part of the leadership board. In how many ways can the board be formed?a)3 × (2 × 10C2 × 3! + 10C3 × 3!)b)3 × (2 × 10C2 × 3!)c)d)None of the aboveCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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