Q. 63.9( 28 Votes )

Three lette

Answer :

Let L1, L2, L3 be three letters and E1, E2, and E3 be their corresponding envelops respectively.

Let LiEi denote ith letter is inserted in ith envelope


Sample space is


L1E1, L2E3, L3E2,


L2E2, L1E3, L3E1,


L3E3, L1E2, L2E1,


L1E1, L2E2, L3E3,


L1E2, L2E3, L3E1,


L1E3, L2E1, L3E2,


there are 6 ways of inserting 3 letters in 3 envelops.


And there are 4 ways in which at least one letter is inserted in proper envelope. (first 4 rows of sample space)


Probability that at least one letter is inserted in proper envelope =


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