Question

Ram has 4 formal shirts and 5 formal trousers, in how many ways can he choose his outfit for the interview?

• A. 20
• B. 9
• C. 10
• D. 25

Hint:

Use the "AND" rule: If you have to do one thing AND another thing, you Multiply the number of options.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This problem uses the Fundamental Principle of Counting, specifically the Product Rule. When one event can occur in $m$ ways and a second event can occur in $n$ ways, the number of ways the two events can occur together is $m \times n$.

Step 2: Key Formula or Approach:
Total ways = (Number of Shirt options) $\times$ (Number of Trouser options)

Step 3: Detailed Explanation:
1. Ram must choose one shirt AND one trouser to complete an outfit. 2. Number of ways to choose a shirt = 4. 3. Number of ways to choose a trouser = 5. 4. Total combinations = $4 \times 5 = 20$.

Step 4: Final Answer:
Ram can choose his outfit in 20 ways.