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)|27 Videos

  • PROBABILITY

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

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|29 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

Statement-1: 20 persons are sitting in a row. Two of these persons are selected at random. The probability that the two selected persons are not together is 0.9. Statement-2 :If overline(A) denotes the negation of an event A, then P(overline(A))=1-P(A) .

There are n person sitting in a row two of them are selected at random the probability that two selected persons are not together is

There are m persons sitting in a row.Two of the mare selected at random.The probability that the two selected persons are together

persons are sitting in a row.Two of them are selected.Write the probability that they are together.

Suppose n(>=3) persons are sitting in a row. Two of them are selected at random.The probability that they are not together is (A) 1-(2)/(n) (B) (2)/(n-1) (C) 1-(1)/(n) (D) nonoe of these

Four married couples have gathered in a room. Two persons are selected at random from amongst them.Find the probability that the selected persons are

Out of n persons sitting at a round table, three, A, B, C are chosen at random. The chance that no two of these are sitting next to one another is