Question

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) 15 B) 20 C) 10 D) 5

Answer 1

Answer:

The number of combinations will she have to analyze is  10.

Step-by-step explanation:

We know that 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.  We calculate the number of combinations will she have to analyze.

$C^5_3=\frac{5!}{3!(5-3)!}=\frac{5\cdot 4\cdot 3!}{3!\cdot 2\cdot 1}=10$

The number of combinations will she have to analyze is  10.