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TS EAMCET · Maths · Permutation Combination

If there are 5 letters written to 5 different people and 5 envelopes addressed to them, then the number of ways in which these letters can be arranged so that no letter goes into its corresponding envelope is

  1. A 9
  2. B 24
  3. C 44
  4. D 119
Verified Solution

Answer & Solution

Correct Answer

(C) 44

Step-by-step Solution

Detailed explanation

Given that 5 letters are written to 5 different people and 5 envelopes addressed to them The number of ways in which these letters can be arranged so that no letter goes into its corresponding envelope is equal to number of derangement of 5 objects The derangement of n objects…