Question: A manager needs to assign three different projects to their team of 1 0 . They need to assign 5 people to project A ,

A manager needs to assign three different projects to their team of 10. They
need to assign 5 people to project A,4 people to project B and 1 person to project C.
a. In how many ways can this be accomplished?
[2 marks]
b. If exactly one person becomes unwell, what is the probability that they were on project C?
[3 marks]
c. If exactly three people go on holidays, what is the probability that every project is short staffed by 1
person?

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