Question
Tiana is knitting a sweater. For the yarn, she has to choose from 8 colors and 4 weights. Tiana knows 9 different sweater patterns. How many different sweaters can Tiana knit? square sweaters
Solution
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RosalindMaster · Tutor for 5 years
Answer
### 288
Explain
## Step 1: Calculate the number of yarn combinations<br />### Tiana has 8 color choices and 4 weight choices. The total number of yarn combinations is the product of the number of choices for each characteristic. We multiply the number of color choices by the number of weight choices. $8 \times 4 = 32$.<br />## Step 2: Calculate the total number of different sweaters<br />### Tiana has 32 yarn combinations and 9 sweater patterns. The total number of different sweaters is the product of the number of yarn combinations and the number of sweater patterns. We multiply the number of yarn combinations by the number of sweater patterns. $32 \times 9 = 288$.
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