Question:
Let S be the set of all 5-digit numbers having only the digits 0 and 1. Then \(n(S) =\)
Let S be the set of all 5-digit numbers having only the digits 0 and 1. Then \(n(S) =\)
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Count possibilities for each position independently.
Updated On: Apr 25, 2026
- 16
- 32
- 8
- 64
- 24
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
5-digit number cannot start with 0. So first digit must be 1. Remaining 4 digits each can be 0 or 1.
Step 2: Detailed Explanation:
So total numbers = \(1 \times 2^4 = 16\).
Step 3: Final Answer:
Option (A).
5-digit number cannot start with 0. So first digit must be 1. Remaining 4 digits each can be 0 or 1.
Step 2: Detailed Explanation:
So total numbers = \(1 \times 2^4 = 16\).
Step 3: Final Answer:
Option (A).
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