Solve the problem.
-A businessman is planning to visit at least 3 but not all of the following cities: Atlanta, Buffalo, Chicago, Detroit, Evanston, Fresno, Gainsville, and Houston. In how many ways can he select the
Set of cities to be visited?
A)232 ways
B)162 ways
C)219 ways
D)218 ways

Question

Quizplus · Accepted Answer

The total number of cities is 8. The businessman can visit between 3 and 7 cities. The number of ways to choose k cities from 8 is given by the combination formula C(8, k). So, we calculate C(8, 3) + C(8, 4) + C(8, 5) + C(8, 6) + C(8, 7) = 56 + 70 + 56 + 28 + 8 = 218 ways.

Solve the Problem. -A Businessman Is Planning to Visit at Least 3 but Least