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The bowling league selects its 4 officers by first selecting the president, then the vice president, then the secretary, then the treasurer. If there are 40 bowlers who are eligible to hold office and no member can hold more than one office, which of the following gives the number of different possible results of the election?
  • a)
    374
  • b)
    394
  • c)
    404
  • d)
    39 x 38 x 37 x 36
  • e)
    40 x 39 x 38 x 37
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
The bowling league selects its 4 officers by first selecting the presi...
To solve this problem, you would multiply the number of possibilities in each officer position. Since the league selects its 4 officers by first selecting the president, then the vice president, then the secretary, then the treasurer, there are 40 possibilities for president, 39 possibilities for vice president, 38 possibilities for secretary, and 37 possibilities for treasurer. The total number of different possibilities for the election is therefore 40 × 39 × 38 × 37.
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The bowling league selects its 4 officers by first selecting the presi...
Given information:
- There are 40 bowlers eligible for office.
- The bowling league selects its officers in the following order: president, vice president, secretary, treasurer.
- No member can hold more than one office.

To find:
The number of different possible results of the election.

Solution:
To find the number of different possible results of the election, we need to find the number of ways to select each office in order.

1. Selection of President:
Since there are 40 eligible bowlers, any one of them can be selected as the president. Therefore, there are 40 possible choices for the president.

2. Selection of Vice President:
After the president is selected, there are 39 eligible bowlers remaining. Any one of them can be selected as the vice president. Therefore, there are 39 possible choices for the vice president.

3. Selection of Secretary:
After the president and vice president are selected, there are 38 eligible bowlers remaining. Any one of them can be selected as the secretary. Therefore, there are 38 possible choices for the secretary.

4. Selection of Treasurer:
After the president, vice president, and secretary are selected, there are 37 eligible bowlers remaining. Any one of them can be selected as the treasurer. Therefore, there are 37 possible choices for the treasurer.

Total number of possible results:
To find the total number of possible results, we need to multiply the number of choices for each office: 40 choices for the president, 39 choices for the vice president, 38 choices for the secretary, and 37 choices for the treasurer.

Total number of possible results = 40 x 39 x 38 x 37

Therefore, the correct answer is option 'E': 40 x 39 x 38 x 37.
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The bowling league selects its 4 officers by first selecting the president, then the vice president, then the secretary, then the treasurer. If there are 40 bowlers who are eligible to hold office and no member can hold more than one office, which of the following gives the number of different possible results of the election?a)374b)394c)404d)39 x 38 x 37 x 36e)40 x 39 x 38 x 37Correct answer is option 'E'. Can you explain this answer?
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The bowling league selects its 4 officers by first selecting the president, then the vice president, then the secretary, then the treasurer. If there are 40 bowlers who are eligible to hold office and no member can hold more than one office, which of the following gives the number of different possible results of the election?a)374b)394c)404d)39 x 38 x 37 x 36e)40 x 39 x 38 x 37Correct answer is option 'E'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The bowling league selects its 4 officers by first selecting the president, then the vice president, then the secretary, then the treasurer. If there are 40 bowlers who are eligible to hold office and no member can hold more than one office, which of the following gives the number of different possible results of the election?a)374b)394c)404d)39 x 38 x 37 x 36e)40 x 39 x 38 x 37Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The bowling league selects its 4 officers by first selecting the president, then the vice president, then the secretary, then the treasurer. If there are 40 bowlers who are eligible to hold office and no member can hold more than one office, which of the following gives the number of different possible results of the election?a)374b)394c)404d)39 x 38 x 37 x 36e)40 x 39 x 38 x 37Correct answer is option 'E'. Can you explain this answer?.
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