How many ways can a delegation of 4 Republicans, 3 Democrats, and 2 Independents be selected from a group of 5 Republicans, 9 Democrats, and 5 Independents

Question

probability stats questions

Answer 1

In this case a delegation is a group of people where order does not matter, so we can use the formula for combinations to find the ways to choose Republications, Democrats and Independents and multiply the three numbers together. The answer in this case is: C(5,4) * C(9,3) * C(5,2) =5*84*10=4200 ways. Hope that helps!