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There are n letters and n addressed e...

There are `n` letters and `n` addressed envelopes. Find the probability that all the letters are not kept in the right envelope.

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Verified by Experts

The correct Answer is:
`1 - (1)/(n!)`
Required probability is 1 - P(all letters in right envelope) = 1 - 1/n!
(As there are total number of n! ways in which letters can take envelopes and just one way in which they have corresponding envelopes.)
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CENGAGE PUBLICATION-PROBABILITY I -Exercise 9.2
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  2. There are n letters and n addressed envelopes. Find the probability...

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  3. Find the probability of getting total of 5 or 6 in a single throw o...

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  4. Two integers are chosen at random and multiplied. Find the probabil...

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  5. If out of 20 consecutive whole numbers two are chosen at random, th...

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  6. A bag contains 3 red, 7 white, and 4 black balls. If three balls ar...

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  7. An ordinary cube has 4 blank faces, one face mark 2 and another marke...

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  8. If the letters of the word REGULATIONS be arranged at random, find t...

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  9. A five digit number is formed but the digits 1,2,3,4,5 without repetit...

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  10. Five persons entered the lift cabin on the ground floor of an 8-floor ...

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  11. Two friends Aa n dB have equal number of daughters. There are three ci...

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  12. about to only mathematics

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  13. There are eight girls among whom two are sisters, all of them are to s...

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  14. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are d...

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  15. A pack of 52 cards is divided at random into two equals parts. Find th...

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  16. If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6...

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  17. If two distinct numbers m and n are chosen at random form the set {1, ...

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  18. Two number a and b are chosen at random from the set of first 30 natur...

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  19. Twelve balls are distributed among three boxes, find the probability ...

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