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?

The student asked how many distinct outfits Kareem can select if he has 4 sweaters, 6 shirts, and 3 pairs of slacks, with each outfit consisting of a sweater, a shirt, and a pair of slacks. To solve this, we use the basic principle of counting, which states that if one event can occur in 'm' ways, and a second event can occur independently in 'n' ways, then the two events can occur in 'm x n' ways.

Step 1: Calculate the number of ways Kareem can choose a sweater. He has 4 sweaters, so there are 4 ways.

Step 2: Calculate the number of ways Kareem can choose a shirt. He has 6 shirts, resulting in 6 ways.

Step 3: Calculate the number of ways Kareem can choose a pair of slacks. With 3 pairs of slacks, he has 3 ways.

Step 4: Multiply the number of choices for each article of clothing to get the total number of distinct outfits. 4 (sweaters) x 6 (shirts) x 3 (slacks) = 72 distinct outfits.

Answered by EdwardRow | 2024-06-18

The **number **of **the distinct **outfit is 30 each consisting of a sweater , a shirt , and a pair of slacks that can Kareem select.
What is a numerical expression?
A numerical expression is **algebraic **information stated in the form of **numbers **and **variables **that are unknown. Information can is used to generate numerical expressions .
We have been given that Kareem has 4 sweaters, 6 shirts, and 3 pairs of slacks.
To determine the **number **of **distinct **outfits, each consisting of a sweater , a shirt , and a pair of slacks , can Kareem select.
**Add **4 sweaters and 6 shirts and that should **add **up to 10 in total, then times 10 sweaters/shirts by 3 slacks to get 30 as a grand total .
Therefore, the **number **of **the distinct **outfit is 30 each consisting of a sweater , a shirt , and a pair of slacks that can Kareem select.
To learn more about** numerical expression **click here :
https://brainly.com/question/6037813
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Answered by saimaparvezVT | 2024-06-24

Kareem can select a total of 72 distinct outfits. This is calculated by multiplying the number of sweaters, shirts, and pairs of slacks he has. The formula used is Total Outfits = 4 sweaters × 6 shirts × 3 slacks.
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Answered by saimaparvezVT | 2024-10-01