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At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote is
- a)20
- b)22
- c)26
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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At an election there are 5 candidates and 3 members are to be elected....
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At an election there are 5 candidates and 3 members are to be elected....
Solution:
Given,
Number of candidates = 5
Number of members to be elected = 3
To find:
Number of ways a voter can vote for any number of candidates not greater than the number to be elected.
Method:
When a voter is entitled to vote for any number of candidates not greater than the number to be elected, there are two possibilities for each candidate:
1. The voter votes for the candidate
2. The voter does not vote for the candidate
Therefore, for each candidate, there are 2 possibilities. Since there are 5 candidates, the total number of possibilities is 2 x 2 x 2 x 2 x 2 = 32.
However, we need to remember that the voter cannot vote for more than 3 candidates. Therefore, we need to subtract the number of possibilities where the voter votes for more than 3 candidates.
Number of possibilities where the voter votes for all 5 candidates = 1
Number of possibilities where the voter votes for 4 candidates = 5 (since there are 5 ways to choose the candidate not voted for)
Number of possibilities where the voter votes for more than 3 candidates = 1 + 5 = 6
Therefore, the total number of possibilities where the voter votes for any number of candidates not greater than the number to be elected = 32 - 6 = 26.
Answer:
Hence, the correct option is (c) 25.
Given,
Number of candidates = 5
Number of members to be elected = 3
To find:
Number of ways a voter can vote for any number of candidates not greater than the number to be elected.
Method:
When a voter is entitled to vote for any number of candidates not greater than the number to be elected, there are two possibilities for each candidate:
1. The voter votes for the candidate
2. The voter does not vote for the candidate
Therefore, for each candidate, there are 2 possibilities. Since there are 5 candidates, the total number of possibilities is 2 x 2 x 2 x 2 x 2 = 32.
However, we need to remember that the voter cannot vote for more than 3 candidates. Therefore, we need to subtract the number of possibilities where the voter votes for more than 3 candidates.
Number of possibilities where the voter votes for all 5 candidates = 1
Number of possibilities where the voter votes for 4 candidates = 5 (since there are 5 ways to choose the candidate not voted for)
Number of possibilities where the voter votes for more than 3 candidates = 1 + 5 = 6
Therefore, the total number of possibilities where the voter votes for any number of candidates not greater than the number to be elected = 32 - 6 = 26.
Answer:
Hence, the correct option is (c) 25.
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At an election there are 5 candidates and 3 members are to be elected....
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At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote isa)20b)22c)26d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote isa)20b)22c)26d)none of theseCorrect answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote isa)20b)22c)26d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote isa)20b)22c)26d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote isa)20b)22c)26d)none of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote isa)20b)22c)26d)none of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote isa)20b)22c)26d)none of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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