# Answer to Question #11256 in Statistics and Probability for Ke_091

Question #11256

Interviews are being conducted for two posts at same level in a company. There are 3 female and 5 male candidates. In how many ways can the candidates be selected such that

(i) Both posts are filled by males

(ii) Both posts are filled by females

(iii) One male and one female get selected?

(i) Both posts are filled by males

(ii) Both posts are filled by females

(iii) One male and one female get selected?

Expert's answer

i) We select only males: 5!/(2!3!)=10

ii) Now, we select only females: 3!/(2!1!)=3

iii) Now we pick one male (5 ways) and one female (3 ways), so the answer: 5*3=15

ii) Now, we select only females: 3!/(2!1!)=3

iii) Now we pick one male (5 ways) and one female (3 ways), so the answer: 5*3=15

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