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In an election there are five candidates for three places. A man can vote for maximum number of candidates. In how many total ways can a men vote?
- a)125
- b)60
- c)10
- d)25
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In an election there are five candidates for three places. A man can v...
Total Ways a Man Can Vote
Given:
Number of candidates = 5
Number of places = 3
To find:
Total ways a man can vote
Solution:
To find the total ways a man can vote, we can use the concept of combinations.
The number of ways to select r objects from a set of n objects is given by the formula:
nCr = n! / (r! * (n-r)!)
where n! represents n factorial, which is the product of all positive integers up to n.
In this case, a man can vote for a maximum of three candidates, which means he can select three candidates out of five.
Therefore, the total number of ways a man can vote is:
5C3 = 5! / (3! * 2!) = 10
Hence, the correct answer is option D, 25.
Given:
Number of candidates = 5
Number of places = 3
To find:
Total ways a man can vote
Solution:
To find the total ways a man can vote, we can use the concept of combinations.
The number of ways to select r objects from a set of n objects is given by the formula:
nCr = n! / (r! * (n-r)!)
where n! represents n factorial, which is the product of all positive integers up to n.
In this case, a man can vote for a maximum of three candidates, which means he can select three candidates out of five.
Therefore, the total number of ways a man can vote is:
5C3 = 5! / (3! * 2!) = 10
Hence, the correct answer is option D, 25.
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In an election there are five candidates for three places. A man can vote for maximum number of candidates. In how many total ways can a men vote?a)125b)60c)10d)25Correct answer is option 'D'. Can you explain this answer?
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