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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 candidate not greater than the number to be elected.the number of ways a voter choose to vote is?
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At an election there are 5 candidates and 3 members are to be elected ...
Number of Ways a Voter Can Choose to Vote
To determine the number of ways a voter can choose to vote in an election with 5 candidates where 3 members are to be elected, we need to consider the voting options available to the voter.
Voting Options
- The voter can choose to vote for 0, 1, 2, or 3 candidates.
- The voter cannot vote for more than 3 candidates since only 3 members are to be elected.
Calculating the Number of Ways
To calculate the number of ways a voter can choose to vote, we can use the concept of combinations.
- When the voter chooses to vote for 0 candidates, there is only 1 way to do so (not voting for any candidate).
- When the voter chooses to vote for 1 candidate, there are 5 ways to do so (selecting 1 candidate out of 5).
- When the voter chooses to vote for 2 candidates, there are 10 ways to do so (selecting 2 candidates out of 5).
- When the voter chooses to vote for 3 candidates, there are 10 ways to do so (selecting 3 candidates out of 5).
Therefore, the total number of ways a voter can choose to vote in this election is 1 (for 0 candidates) + 5 (for 1 candidate) + 10 (for 2 candidates) + 10 (for 3 candidates) = 26 ways.
In conclusion, a voter in this election can choose to vote in 26 different ways, depending on the number of candidates they decide to vote for.
To determine the number of ways a voter can choose to vote in an election with 5 candidates where 3 members are to be elected, we need to consider the voting options available to the voter.
Voting Options
- The voter can choose to vote for 0, 1, 2, or 3 candidates.
- The voter cannot vote for more than 3 candidates since only 3 members are to be elected.
Calculating the Number of Ways
To calculate the number of ways a voter can choose to vote, we can use the concept of combinations.
- When the voter chooses to vote for 0 candidates, there is only 1 way to do so (not voting for any candidate).
- When the voter chooses to vote for 1 candidate, there are 5 ways to do so (selecting 1 candidate out of 5).
- When the voter chooses to vote for 2 candidates, there are 10 ways to do so (selecting 2 candidates out of 5).
- When the voter chooses to vote for 3 candidates, there are 10 ways to do so (selecting 3 candidates out of 5).
Therefore, the total number of ways a voter can choose to vote in this election is 1 (for 0 candidates) + 5 (for 1 candidate) + 10 (for 2 candidates) + 10 (for 3 candidates) = 26 ways.
In conclusion, a voter in this election can choose to vote in 26 different ways, depending on the number of candidates they decide to vote for.
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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 candidate not greater than the number to be elected.the number of ways a voter choose to vote is?
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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 candidate not greater than the number to be elected.the number of ways a voter choose to vote is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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 candidate not greater than the number to be elected.the number of ways a voter choose to vote is? covers all topics & solutions for UPSC 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 candidate not greater than the number to be elected.the number of ways a voter choose to vote is?.
At an election there are 5 candidates and 3 members are to be elected a voter is entitled to vote for any number of candidate not greater than the number to be elected.the number of ways a voter choose to vote is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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 candidate not greater than the number to be elected.the number of ways a voter choose to vote is? covers all topics & solutions for UPSC 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 candidate not greater than the number to be elected.the number of ways a voter choose to vote is?.
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