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Sagot :
Answer:
(a) 495, (b) 210
Step-by-step explanation:
Total number of persons = 12
number of openings = 8
number of women = 7
number of men = 12 - 7 = 5
(a) Number of ways to select the 8 persons
[tex]C_{8}^{12}\textrm{}\\\\= \frac{12!}{8!\times 4!}\\\\=495[/tex]
(b) Three are men
So, 3 men and 5 women
The number of ways are
[tex]C_{3}^{5}\textrm{} \times C_{5}^{7}\textrm{}\\\\= \frac{5!}{3!\times 2!}\times \frac{7!}{5!\times 2!}\\\\=210[/tex]
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