Question

20 people have volunteered for a 5-person neighborhood advocacy committee. 10 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

What is Probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

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

Generally, 2 local business owners are represented is mathematically given as

N=11C3 x 9C2

Therefore

N=165 x 36

N=5940

Therefore the way 5-person committee such that exactly 2 local business owners are represented is mathematically given as

N=5940

For more information on Probability visit

brainly.com/question/795909

#SPJ1