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 In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included?
  • a)
    30C4
  • b)
     30C3
  • c)
    31C3
  • d)
    31C4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In your office 4 posts have fallen vacant. In how many ways a selectio...
since 1 candidate is already selected so there are 3 posts for which we need candidates from 30.
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In your office 4 posts have fallen vacant. In how many ways a selectio...
Solution:

Given, one candidate is always included in the selection process.

Out of 31 candidates, one candidate is already selected. So, we need to select the remaining 3 candidates from the remaining 30 candidates.

Therefore, the required number of ways of selecting 3 candidates out of 30 candidates is:

= 30C3

= (30 x 29 x 28)/(3 x 2 x 1)

= 4060

Hence, the correct option is (b) 30C3.
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Community Answer
In your office 4 posts have fallen vacant. In how many ways a selectio...
If you selected 1 person in 31 than
left members are 30
and place are 3 so
now the selection in 30 person and place is 3 so your answer is

30C3
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In your office 4 posts have fallen vacant. In how many ways a selection out of 31 candidates can be made if one candidate is always included?a)30C4b)30C3c)31C3d)31C4Correct answer is option 'B'. Can you explain this answer?
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