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If n letters are placed at random in n a...

If n letters are placed at random in n addressed envelops then the probability that all the letters are placed in correct envelops is

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The correct Answer is:
`(1)/(n!)`
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A: There are 4 letters and 4 addressed envelopes. If the letters are put in the random in the envelopes , the probability that all the letters may be placed in wrongly addressed envelopes is 3//8 . R: If n letters are put at random in the n addressed envelopes , the probability that all the letters may be in wrong envelopes = 1- (1)/(1!) +(1)/(2!)-(1)/(3!)+.....+((-1)^(n))/(n!)

There are 6 letters and 6 addressed envelopes . If the letters are put at random in the envelopes , the probability that all the letters may be placed in wrongly addressed envelopes is

n different letters are placed in n different addressed envelopes at random. Find the probability that (i) no letter is placed in right envelope i.e., all the letters are placed in wrong envelopes. (ii) atleast one letter is placed in right envelope.

If 6 letters are placed at random in 6 addressed envelopes. Then the odds in favour of arranging them such that no letter goes into correct envelope is

There are 5 letters and 5 addressed envelopes. If the letters are placed at random in the envelopes. Find the chance that atleast one letter goes into wrong envelope.

AAKASH SERIES-PROBABILITY-Additional Solved Example
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  2. Three fair dice are rolled. Find the probability that the greatest num...

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  3. If n letters are placed at random in n addressed envelops then the pro...

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  4. If there are m students in a class, then find the probability that (i)...

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  5. (i) Obtain the probability that the birth days of seven people will fa...

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  6. Out of 52 cards 4 are drawn at random without replacement. What is the...

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  7. Three electric bulb holders are fixed in a room. 3 bulbs are chosen at...

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  8. There are 50 tickets in a lottery in which there is a first and a seco...

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  9. A has 3 shares in a lottery where there are 3 prizes and 6 blanks, B h...

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  10. Two numbers are selected at random from 1,2,3,……100 without replacemen...

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  11. A natural number x is chosen at random from the first 100 natural numb...

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  12. If the letters of the word 'QUESTION' are arranged at random. What is ...

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  13. A is a set containing 'n' elements . A subset P of A is chosen at rand...

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  14. Let F be the set of all 4 digited numbers whose sum is 34. If a number...

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  15. Two numbers are selected at random from 1,2,3,……100 and multiplied. Fi...

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  16. A car is parked among 'N' cars in a row, not at either end. On his ret...

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  17. Two squares are chosen at random from the small squares on a chess boa...

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  18. If p and q are chosen at random from the set {1,2,3,4,5,6,7,8,9,10} wi...

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  19. There are 100 stations between two stations A and B. A train is to sto...

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  20. From a heap containing 10 pairs of shoes 6 shoes are selected at rando...

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