Home
Class 12
MATHS
A: There are 4 letters and 4 addressed e...

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!)`

A

Both A and R are true and R is the correct explanation of A.

B

Both A and R are true is not correct explanation of A.

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-3|9 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

Similar Questions

Explore conceptually related problems

There are 5 letters and 5 addressed envelopes. If the letters are placed at random in the envelopes. Find the chance that all letters go into correct envelopes.

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.

Knowledge Check

  • There are 5 letters and 5 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

    A
    `119//120`
    B
    `1//120`
    C
    `11//30`
    D
    `11//120`

  • 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

    A
    `119/120`
    B
    `1/120`
    C
    `125/144`
    D
    `11/120`

  • There are 5 letters and 5 addressed envelopes. If the letters are put at random in the envelopes, the probability that atleast one letter may be placed in wrongly addressed envelope is

    A
    `(119)/(120)`
    B
    `(120)/(343)`
    C
    `(1)/(1155)`
    D
    `(139)/(140)`

    • Similar Questions

    Explore conceptually related problems

    There are 5 letters and 5 addressed envelopes. If the letters are placed at random in the envelopes. Find the chance that exactly 3 letters go into correct envelopes.

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

    The number of ways in which five different letters can be put in their five addressed envelopes so that all the letters are in the wrong envelopes is

    There are 3 letters and 3 addressed envelopes coorresponding to their . The number of ways in which the letters be placed in the envelopes so that no letter is in the right envelope is

    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

    Home
    Profile