In how many ways can 10 true-false questions be replied:

This question was previously asked in
MP Police Constable 2023 Official Paper (Held On: 03 Sept, 2023 Shift 1)
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  1. 20
  2. 100
  3. 512
  4. 1024

Answer (Detailed Solution Below)

Option 4 : 1024
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Detailed Solution

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Given:

Total number of true-false questions = 10.

Each question has 2 options: True or False.

Formula Used:

Number of ways to reply = 2n , where n is the number of questions.

Calculation:

Here, n = 10 .

Number of ways to reply = 210.

⇒ Number of ways = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

⇒ Number of ways = 1024

The number of ways to reply to 10 true-false questions is 1024.

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