CA Foundation Exam  >  CA Foundation Questions  >  In your college Union Election you have to ch... Start Learning for Free
In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.
  • a)
    25
  • b)
    5
  • c)
    10
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In your college Union Election you have to choose candidates. Out of 5...
Solution:

To solve this problem, we can use the combination formula as we need to choose 3 candidates out of 5.

The formula for combination is:

nCr = n! / r! * (n-r)!

where n = total number of candidates and r = number of candidates to be elected.

Putting n = 5 and r = 3, we get:

5C3 = 5! / 3! * (5-3)!
= 5! / 3! * 2!
= (5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 2 * 1)
= 10

Therefore, there are 10 ways to choose 3 candidates out of 5.

But the question states that we can vote for any number of candidates, not exceeding the number to be elected. So, we can vote for 0, 1, 2 or 3 candidates.

The number of ways to choose 0 candidates is 1 (not voting for anyone).

The number of ways to choose 1 candidate is 5 (choosing any one from 5 candidates).

The number of ways to choose 2 candidates is 10 (as we calculated above).

The number of ways to choose 3 candidates is also 10 (same as choosing 2 candidates out of 5).

Therefore, the total number of ways to choose candidates is:

1 + 5 + 10 + 10 = 26

Hence, option 'D' (None) is incorrect and the correct answer is option 'A' (25).
Free Test
Community Answer
In your college Union Election you have to choose candidates. Out of 5...
5c1+5c2+5c3
Explore Courses for CA Foundation exam
In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer?
Question Description
In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. 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 In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. 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 In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer?.
Solutions for In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In your college Union Election you have to choose candidates. Out of 5 candidates 3 are to be elected and you are entitled to vote for any number of candidates but not exceeding the number to be elected. You can do it in ________ ways.a)25b)5c)10d)NoneCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev