7. The student council at a university has twelve members. Four members will for

Question

7. The student council at a university has twelve members. Four members will form an executive committee consisting of a president, a vice president, a secretary, and a treasurer. Assume that the executive committee will be determined randomly (a) What is the probability that Maria will be president, Steve will be vice-president, Russell will be secretary, and Stephanie will be treasurer? What is the probability that the four youngest people on the student council will make up the executive committee? (b)

Explanation / Answer

a) SInce order is fixed, we do not use combinatronics

Probbility = 1/(12*11*10*9)=1/11880

b) Probaiblity = 1/10C4 = 24/11880=1/495

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