The board of directors for Southern Alberta Insurance Company has 8 members. (a) If a committee...

The board of directors for Southern Alberta Insurance Company has 8 members.

(a) If a committee of 3 is formed by random selection, what is the probability that it consists of the 3 wealthiest members?

(b) If the board must elect a chairperson, vice-chairperson, and a secretary, how many different slates of candidates are possible?

If also, you could show your work, and help me understand why I would appreciate that too. Thank you!

Expert Solution

a)

here number of ways to pick 3 member from 8 =(8C3) =8!/(3!*5!) =56

number of ways to pick 3 from 3 wealthiest =(3C3) =3!/(3!*0!) =1

therefore probability that it consists of the 3 wealthiest members =1/56

b)

number of ways =N(for chairperson 8 choices, for vice-chairperson remaining 7 for secretary remaining 6 choices )=8*7*6 =336

orchestra answered 2 years ago

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