Answered

Reporting Category Quiz: Preparing
for Higher Mathematics | Number and
Quantity
7. Kareem has 4 sweaters, 6 shirts, and 3
pairs of slacks. How many distinct outfits,
each consisting of a sweater, a shirt
, and a
pair of slacks, can Kareem select?
A. 13
B. 36
C. 42
D. 72
E. 216

Verified Answer :

GinnyAnswer

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:
\(\[ 4 \text{ sweaters} \times 6 \text{ shirts} \times 3 \text{ pairs of slacks} = 72 \text{ distinct outfits} \]\)

Thus, the correct answer is:
\(\[ \boxed{72} \]\)

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