Answer :
Let's solve this problem step-by-step:
1. Identify the components of each outfit:
- Sweaters: Kareem has 4 sweaters.
- Shirts: Kareem has 6 shirts.
- Slacks: Kareem has 3 pairs of slacks.
2. Determine the total number of possible outfits:
- Each outfit consists of one sweater, one shirt, and one pair of slacks.
3. Calculate the total number of distinct outfits:
- For each sweater, Kareem can choose any of the 6 shirts.
- For each of these combinations, he can choose any of the 3 pairs of slacks.
So, the total number of distinct outfits is:
[tex]\[ 4 \text{ sweaters} \times 6 \text{ shirts} \times 3 \text{ pairs of slacks} = 72 \text{ distinct outfits} \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{72} \][/tex]
1. Identify the components of each outfit:
- Sweaters: Kareem has 4 sweaters.
- Shirts: Kareem has 6 shirts.
- Slacks: Kareem has 3 pairs of slacks.
2. Determine the total number of possible outfits:
- Each outfit consists of one sweater, one shirt, and one pair of slacks.
3. Calculate the total number of distinct outfits:
- For each sweater, Kareem can choose any of the 6 shirts.
- For each of these combinations, he can choose any of the 3 pairs of slacks.
So, the total number of distinct outfits is:
[tex]\[ 4 \text{ sweaters} \times 6 \text{ shirts} \times 3 \text{ pairs of slacks} = 72 \text{ distinct outfits} \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{72} \][/tex]
