Home
Class 12
MATHS
(n>=5) persons are sitting in a row. Thr...

`(n>=5)` persons are sitting in a row. Three of these are selected at random. The probability that no two of the selected persons sit together is

A

`(.^(n-3)P_2)/(.^nP_2)`

B

`(.^(n-3)C_2)/(.^nC_2)`

C

`((n-3)(n-4))/(n(n-1))`

D

`(.^(n-3)C_2)/(.^nP_2)`

Text Solution

Verified by Experts

The correct Answer is:
(a,b,c,d)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|26 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Probability Exercise 1: Single Option Single Correct Type Question|1 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

Seven perons are to be seated in a row. The probability that two particular persons sit next to each other is:

Five boys and four girls sit in a row randomly. The probability that no two girls sit together

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has : all Boys.

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has : all girls.

There are 40 scholars in a class, out of which 10 are sports- persons. Three scholars are selected at random out of them. Find the probability distribution for the selected persons who are sports-persons. Find the mean of the distribution.

If 6 boys and 6 grils sit in a row at random, then the probability that all the girls sit together is

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has : 2 boys and 1 girl.

Out of 3n consecutive integers, there are selected at random. Find the probability that their sum is divisible by 3.

If the letters of the word ASSASSIN are written down in a row, the probability that no two S's occur together, is

There is a group of 50 people who are patriotic out of which 20 believe in non-violence. Two persons are selected at random out of them, write the probability distribution for the selected persons who are non-violent. Also find the mean of the distribution. Explain the importance of non-violence in patriotism.