The US Senate Committee consists of 8 members. 5 members are Democrates and 3 are Republicans. A subcommittee of size 4 is to be chosen from the members of the Committee.
a) In how ways may this subcommitte be formed if it contains a chairman, vice-chairman, Elector, i.e order of selection matters?
b) In how many ways this subcommitte selected if order of selection does not matter?
c) Assumw the subcommitte is randomly selected with order of selection not mattering.
i) what is the probability the subcommitte contains 1 Democrate?
ii) What is the probability the subcommittee contains 2 Democrate?
iii) What is the probability the subcommittee contains 3 Democrate?
iv) What is the probability the subcommittee contains 3 Republicans?
v) What is the probability the subcommitte contains 4 Republicans?