CSATLogical ReasoningDerangement Permutation2023

There are four letters and four envelopes and exactly one letter is to be put in exactly one envelope with the correct address. If the letters are randomly inserted into the envelopes, then consider the following statements: 1. It is possible that exactly one letter goes into an incorrect envelope. 2. There are only six ways in which only two letters can go into the correct envelopes. Which of the statements given above is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Correct Answer: Option B

Explanation

We solve this using the 'Dual Statement Exhaustive Mapping' strategy. **Step 1: Analyze Statement 1** 'It is possible that exactly one letter goes into an incorrect envelope.' Let's test

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