Question

15 candidates applied for a post in a company.In hoe many ways can 5 candidates be selected for the interview such that a particular candidate must be selected for the interview?

Answer 1

=15C5 is the correct answer

Answer 2

The number of ways ways in which 5 candidates can be selected for the interview from 15 candidates applied when a particular candidate is always selected is 1001

Step-by-step explanation:

Number of candidates applied = 15

Number of candidates to be selected for the interview = 5

If a particular person is always selected then we simply select the person and then rest 4 candidates have to be selected from the remaining 14 candidates

Therefore total ways in which 4 candidates are selected for the interview from the 14 candidates applied

$=^{14}C_4$

$=\frac{14!}{10!4!}$

$=\frac{14\times 13\times 12\times 11\times 10!}{10!\times 4\times 3\times 2}$

$=1001$ ways

Therefore, there are 1001 ways in which 5 candidates can be selected for the interview from 15 candidates applied when a particular candidate is always selected.

Hope this answer is helpful.

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