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Question
A father purchases dress for his three daughters. The dresses are of same color but of different size. The dress is kept in dark room. What is the probability that all the three will not choose their own dress ?
A father purchases dress for his three daughters. The dresses are of same color but of different size. The dress is kept in dark room. What is the probability that all the three will not choose their own dress ?
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Solution
The correct option is A 1/3
Total no of ways of getting the dresses is 3!Out of which only 2 are such that in which there will no one with correct dress.Using dearrangement formula 3!(1/2!−1/3!)=2Hence required probability=2!/3!=1/3
Total no of ways of getting the dresses is 3!
Out of which only 2 are such that in which there will no one with correct dress.
Using dearrangement formula 3!(1/2!−1/3!)=2
Hence required probability=2!/3!=1/3
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