Question

20 people have volunteered for a 5-person neighborhood advocacy committee. 11 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 2 local business owners are represented?

Answer 1

We have that the ways 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

Probability

The Probability that 2 local business owners are represented on the committee is given by finding the ways the can be seated amongst the 5

Generally 2 local business owners are represented is mathematically given as

N=11C3*9C2

Therefore

N=165*36

N=5940

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