SOLUTION: Q-2: [5+5+5+5 Marks4] A six person committee composed of Ali, Ahmed, Adnan, , Omer, Fahed, and Adam is to select a chairperson, secretary, and treasurer. a) In how many ways ca

Question 1169804: Q-2: [5+5+5+5 Marks4] A six person committee composed of Ali, Ahmed, Adnan, , Omer, Fahed, and Adam is to select a chairperson, secretary, and treasurer.
a) In how many ways can be this done?
b) In how many ways can be this done if either Ali or Ahmed must be chairperson?
c) In how many ways can be this done if Adnan must hold one of the offices?
d) In how many ways can be this done if both Fahed and Adam must hold office?

Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
6*5*4=120 ways assuming nobody may hold more than one office.
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2 ways for the first, then 5 for the second and 4 for the third. 40 ways
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3*(5*4)=60 the three comes from the three possible offices he may hold
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3 ways they can hold two offices, 4 people left to take the third office, so 12 ways.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
We have zero (0) interest in Marks.
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