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While Preparing a Recording for His Application to Music School, Garrett Must Follow Very Specific Requirements The Recording Must Have

Question

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

Solution

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Answer

### 64

Explanation

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