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question 9 (1 point)
how many possible outfits can you make including a shirt and jacket with either a pair of pants or shorts if you have: 3 shirts, 5 jackets, 4 pants and 2 shorts?
Step1: Calculate bottom options (pants + shorts)
To find the total number of bottom options (either pants or shorts), we add the number of pants and shorts. We have 4 pants and 2 shorts, so the total number of bottom options is $4 + 2 = 6$.
Step2: Calculate total outfits
For each outfit, we need to choose a shirt, a jacket, and a bottom (pants or shorts). The number of ways to choose a shirt is 3, a jacket is 5, and a bottom is 6 (from Step 1). To find the total number of outfits, we multiply the number of choices for each component together. So the total number of outfits is $3\times5\times6$. First, calculate $3\times5 = 15$, then $15\times6 = 90$.
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