Home
Class 12
MATHS
There are 6 letters and 6 addressed enve...

There are 6 letters and 6 addressed envelopes. Find the probability that at least one letter goes into the wrong envelope.

Text Solution

AI Generated Solution

To find the probability that at least one letter goes into the wrong envelope, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Total Outcomes**: The total number of ways to arrange 6 letters in 6 envelopes is given by the factorial of the number of letters (or envelopes). \[ \text{Total outcomes} = 6! = 720 ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|42 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

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

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

There are 4 letters and 4 addressed envelopes. Find the probability that all the letters are not dispatched in right envelopes.

Ravi writes 5 letters and addresses 5 envelopes. If the letters are placed in the envelopes at random, then the probability that a least one letter goes into the wrong envelope is

Three letters are dictated to three person and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.

Three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.

Three letters are written to different persons , and the addresses on the three envelopes are also written . Without looking at the addresses , find the probability that the letters go into the right envelopes .

There are 3 letters and 3 directed envelopes. Write the number of ways in which no letter is put in the correct envelope.

There sre three letters asnd three envelopes. Find the total number of wys in which letters can be put into the envelopes so that each envelope has only one letter.

There are 5 letters and 5 directed envelopes. The number of ways in which all the letters can be put in wrong engvelope, is