Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

short answer record your final answer as a number only! question 9 (1 p…

Question

short answer
record your final answer as a number only!
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?

Explanation:

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 $15\times6 = 90$.

Answer:

90