While preparing a recording for his application to music school, Garrett must follow very specific requirements The recording must have one classical song and one jazz song, and Garrett is proficient at 2 classical songs and 4 jazz songs. The recording must also have one show tune, and Garrett knows 8 show tunes Assuming the order of the songs doesn't matter, how many different recordings can Garrett make? square recordings

## Step 1: Classical Song Choices<br />### Garrett can choose 1 classical song out of 2. This can be done in $\binom{2}{1} = 2$ ways.<br /><br />## Step 2: Jazz Song Choices<br />### Garrett can choose 1 jazz song out of 4. This can be done in $\binom{4}{1} = 4$ ways.<br /><br />## Step 3: Show Tune Choices<br />### Garrett can choose 1 show tune out of 8. This can be done in $\binom{8}{1} = 8$ ways.<br /><br />## Step 4: Total Recording Combinations<br />### To find the total number of different recordings Garrett can make, we multiply the number of choices for each song type: $2 \times 4 \times 8 = 64$.