A radio host plans to play one song from each of the three CDs he has by a single artist. The first

song will come from a CD that has 12 songs. The second song will be selected from a CD that

includes 14 songs while the third CD has 13 songs.

Using the Fundamental Counting Principal find the number of possible ways to play the

music.

13 poi

Question

Jasiah Weber

Mathematics

16 September, 23:06

A radio host plans to play one song from each of the three CDs he has by a single artist. The first

song will come from a CD that has 12 songs. The second song will be selected from a CD that

includes 14 songs while the third CD has 13 songs.

Using the Fundamental Counting Principal find the number of possible ways to play the

music.

13 poi

+5

Answers (1)

Know the Answer?

Harley Wolfe · Answer 1

2184 ways

Step-by-step explanation:

We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.

The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.

The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.

The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.

Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:

Number of possible ways = 12 * 14 * 13 = 2184 ways