Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. Her job is to analyze which three to buy. How many combinations will she have to analyze?
A) 5
B) 10
C) 15
D) 20

Question

Quizplus · Accepted Answer

Lauren needs to choose 3 different airplane models out of 5, which is a combination problem. The number of combinations can be calculated using the formula for combinations: C(n, k) = n! / [k!(n-k)!], where n is the total number of items, and k is the number of items to choose. Here, n=5 and k=3, so C(5, 3) = 5! / [3!(5-3)!] = (5*4*3!) / (3!*2!) = 10. Therefore, Lauren has 10 combinations to analyze.

Boeing Currently Produces Five Models of Airplanes for Commercial Sale