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Tanya prepared four different letters to be sent to four different addresses. For each letter, she prepared an envelope with its correct address. If the 4 letters are to be put into the envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
Answer:
(C4,1*C2,1)/P44 = 1/3
C4,1: firstly, there are for chances for a letter is put into the correct envelope. C2,1: secondly, there are two chances for a letter is put into the incorrect envelope. Then, there is only one choice to put a letter into the incorrect envelope in the third and forth time. |
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