n letters are written to n different persons and address on the n envelopes are also…
Mathematics · JEE Main · NTA Exams — Permutations and Combinations
n letters are written to n different persons and address on the n envelopes are also written. If the letters are placed in the envelopes at random the probability that at least one letter is not placed in the right envelope is
- \(1-\frac{1}{n}\)
- \(1-\frac{1}{z^{n}}\)
- \(1-\frac{1}{n^{n}}\)
- \(1-\frac{1}{n!}\)
Answer
(A) 1- 1 n
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