Home
Class 12
MATHS
If x1 , x2 , x3 , x4 , x5 are numbers fr...

If `x_1 , x_2 , x_3 , x_4 , x_5` are numbers from 1 to 18 such that `x_1 lt x_2 lt x_3 lt x_4 lt x_5` Then the probability that `x_2=7 and x_4=11` is

A

`6/68`

B

`1/68`

C

`7/68`

D

`5/68`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

If the median of the data x_(1), x_(2), x_(3), x_(4), x_(5),x_(6), x_(7), x_(8) " is " alpha and x_(1) lt x_(2) lt x_(3) lt x_(4) lt x_(5) lt x_(6) lt x_(7) lt x_(8) , then the median of x_(3), x_(4), x_(5), x_(6) is

The equation x^(4) -2x^(3) - 3x^(2) + 4x-1=0 has four distinct real roots x_1,x_2,x_3,x_4 such that x_1 lt x_2 lt x_3 lt x_4 and product of two roots is unity , then : x_1x_2+x_1x_3 + x_2x_4+x_3x_4 is equal to :

The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roots x _(1), x _(2), x _(3), x_(4) such that x _(1) lt x _(2) lt x _(3)lt x _(4) and product of two roots is unity, then : x _(1)x _(2) +x_(1)x_(3) + x_(2) x _(4) +x_(3) x _(4)=

The equation x^(4) -2x^(3) - 3x^(2) + 4x-1=0 has four distinct real roots x_1,x_2,x_3,x_4 such that x_1 lt x_2 lt x_3 lt x_4 and product of two roots is unity , then : x_2^(3)+x_4^3 is equal to :

3(1 - x ) lt 2 (x + 4)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The area of the polygon , whose vertices are non-real roots of the equ...

    Text Solution

    |

  2. X=sum(n=0)^oo a^n ,Y=sum(n=0)^oo b^n and Z=sum(n=0)^oo c^n where a,b,c...

    Text Solution

    |

  3. If x1 , x2 , x3 , x4 , x5 are numbers from 1 to 18 such that x1 lt x2 ...

    Text Solution

    |

  4. If lim(x to 7) (18-[1-x])/[[x-3a]] exists, where [.] represents greate...

    Text Solution

    |

  5. If a differential equation , dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1...

    Text Solution

    |

  6. If an ellipse x^2/a^2+y^2/b^2=1 passes through (-4sqrt(3/5),3) & its e...

    Text Solution

    |

  7. A(6,1) is the vertex of triangle ABC , BC : 2x+y-4=0 & C moves on x+3y...

    Text Solution

    |

  8. int ((x^2+1)e^x)/(x+1)^2=f(x)e^x. Find (d^3f)/(dx^3) at x=1

    Text Solution

    |

  9. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

    Text Solution

    |

  10. e^(2x)-11 e^x-45/e^x+81/2=0 , if the sum of roots is lnP then find the...

    Text Solution

    |

  11. In total of 16 cubes , 11 are red and 5 are blue , then number of arra...

    Text Solution

    |

  12. A rectangle is inscribed in a circle with diameter 2x+4=y and two vert...

    Text Solution

    |

  13. Let the direction ratio's of two lines are roots of the equation l+m-n...

    Text Solution

    |

  14. If the coefficient of x^10 in the expansion of (x^(1/2)/5^(1/4) +5^(1/...

    Text Solution

    |

  15. Which of the follwoing is logically equivalent to ~(p wedge q) vv q

    Text Solution

    |

  16. The value of cot(sum(n=1)^50 tan^-1((1)/(1+n+n^2))) is equal to

    Text Solution

    |

  17. If S=2+6/7+12/7^2+20/7^3+. . . then find 4S

    Text Solution

    |

  18. The number of complex number z satisfying abs(z-(4+3i))=2 and absz +ab...

    Text Solution

    |

  19. Which of the following is a tautology ?

    Text Solution

    |

  20. Let A be a 2 xx 2 matrix , whose entries are taken from the set {0,1,2...

    Text Solution

    |