francesca is creating a media center. there are 4 televisions and 3 sets of speakers to choose from. for the…
francesca is creating a media center. there are 4 televisions and 3 sets of speakers to choose from. for the dvd player, francesca has 3 options. lastly, there are 2 possibilities for the cd player. how many different entertainment centers can francesca make? entertainment centers
Answer
Explanation:
Step1: Apply counting principle
Use the multiplication - principle of counting. The total number of ways to form an entertainment center is the product of the number of choices for each component.
Step2: Calculate the product
The number of choices for televisions is $n_1 = 4$, for speakers is $n_2=3$, for DVD players is $n_3 = 3$, and for CD players is $n_4 = 2$. The total number of different entertainment centers $N=n_1\times n_2\times n_3\times n_4$. $N = 4\times3\times3\times2$ $N=72$
Answer:
72