Home
Class 12
MATHS
5 boys and 5 girls are sitting in a row ...

5 boys and 5 girls are sitting in a row randomly . The probability that boys and girls sits alternatively , is

A

`(5)/(126)`

B

`(1)/(42)`

C

`(4)/(126)`

D

`(1)/(126)`

Text Solution

Verified by Experts

The correct Answer is:
D
Total number of ways=10!
total number of ways in which 5 boys and 5 girls are sitting in a row randomly=`2!xx5!xx5!`
`=(2!xx5!xx5!)/(10!)=(1)/(126)`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 02

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics )|50 Videos

  • PRACTICE SET 04

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

6 boys and 6 girls sit in a row at random. Find the probability that all the girls sit together.

Six boys and six girls sit in a row randomly. The probability that al girls sit together is a. 1/122 b. 1/112 c. 1/102 d. 1/132

Six boys and six girls sit in a row randomly. Find the probability that (i) the six girls sit together,(ii) the boys and girls sit alternately.

Five boys and five girls are sitting in a row. Find the probability that All the girls are sitting together.

Five boys and three girls are seated at random in a row. The probability that no boy sits between two girls, is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 03-PAPER 2 (MATHEMATICS)
  1. The equation to the straight line passing through the points (4,-5,2) ...

    Text Solution

    |

  2. The statement (~p ^^ q) vv ~ q is equivalent

    Text Solution

    |

  3. 5 boys and 5 girls are sitting in a row randomly . The probability tha...

    Text Solution

    |

  4. If veca is any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(ve...

    Text Solution

    |

  5. A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hat...

    Text Solution

    |

  6. The equation 8x^2+8xy+2y^2+26x+13y+15=0 represents a pair of straight ...

    Text Solution

    |

  7. The area of the triangle having vertices as hati-2hatj+3hatk,-2hati+3h...

    Text Solution

    |

  8. Order of the differential equation of the family of all concentric cir...

    Text Solution

    |

  9. If the constraints in a linear programming problem are changed

    Text Solution

    |

  10. If A={(x,y):y=e^(-x)}" and "B={(x,y):y=-x}. Then,

    Text Solution

    |

  11. If f(x)=|x-2|, where x is a real number, then, which one of the follow...

    Text Solution

    |

  12. If the second and fifth terms of a GP are 24 and 3 respectively, then ...

    Text Solution

    |

  13. वृत का समीकरण ज्ञात कीजिए : केंद्र (-a,-b) और त्रिज्या sqrt(a^2 -...

    Text Solution

    |

  14. Let phi (x) be the inverse of the function f(x) and f'=1/(1+x^5), then...

    Text Solution

    |

  15. The minimum value of z=2x(1)+3x(2) subjected to the constraints 2x(1)+...

    Text Solution

    |

  16. Simplest form of switching function x*y*z+x*y'*z+x'*y'*z is

    Text Solution

    |

  17. If int(1)/((sinx+4)(sinx-1))dx =A(1)/("tan"(x)/(2)-1)+B"tan"^(-1){f(...

    Text Solution

    |

  18. The value of f(0) so that f(x)=((-e^(x)+2^(x)))/(x) may be continuous...

    Text Solution

    |

  19. If f(x)={{:("x sin"(1)/(x)",",xne0),(k",",x=0):} is continuous at x=0,...

    Text Solution

    |

  20. The derivative of a^(secx) w.r.t. a^(tanx)(agt0) is

    Text Solution

    |