Home
Class 11
MATHS
Six boys and six girls sit along a line ...

Six boys and six girls sit along a line alternately in x ways, and along a circle (again alternatively in y ways), then

A

x=y

B

y=12x

C

x=10y

D

x=12y

Text Solution

Verified by Experts

The correct Answer is:
D

We have,
`x=6!xx6!xx6!xx6!""=2!(6!)andy=5!xx6!`
`:.(x)/(y)=2xx6impliesx=12y`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos
  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|136 Videos
  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

n boys and n girls sit alternately along a line inx ways and along a circle in y ways such that x = 10y , then the number of ways in which n boyscan sit around a round table so that none of themhas same two neighbours, is

Five boys and five girls sit alternately around a round table. In how many ways can this be done?

5 boys and 5 girls are siting in a row randomly . The probability that boys and girls sit alternately , is

In sub - part (i) to (x) choose the correct option and in sub - part (xi) to (xy), answer the questions as intructed . Six boys and six girls sit in row rouldelary Probability that boys and girl sit alternately is :

Five boy and five girls sit alternately around a round table. In how many ways can this be done?

In how many ways 4 boys and 4 girls can be seated in a row so that boys and girls are alternate?

A total of 6 Boys and 6 girls are to sit in a row alternatively and in a circle. Let m be the number of arrangements in the row and n be the number of arrangements in the circle. If k=(m)/(10_(n)) , then the value of k is

Five boys and five girls form a line with the boys and girls alternating. Find the number of ways of making the line.

Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number in which 5 boys and 5 girls stand in such a way that exactly four girls stand consecutively in the queue. Then the value of m/n is ____

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.

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Section I - Solved Mcqs
  1. By using the digits 0,1,2,3,4 and 5 (repetitions not allowed) numbers ...

    Text Solution

    |

  2. The total number not more than 20 digits that are formed by usingd ...

    Text Solution

    |

  3. Six boys and six girls sit along a line alternately in x ways, and alo...

    Text Solution

    |

  4. The number of times the digit 3 will be written when listing the integ...

    Text Solution

    |

  5. Let Tn denote the number of triangles, which can be formed using th...

    Text Solution

    |

  6. Let A be the set of all positive prime intergers less than 30. The num...

    Text Solution

    |

  7. find the number of ways in which a mixed double game can be arranged f...

    Text Solution

    |

  8. The number of different seven-digit numbers that can be written usin...

    Text Solution

    |

  9. The number of six digit numbers that can be form from the digit 1,2,3,...

    Text Solution

    |

  10. N a certain test, there are n question. In the test, 2^(n-i) students ...

    Text Solution

    |

  11. The total number of 4 digit numbers in which the digit are in descendi...

    Text Solution

    |

  12. The number of words of four letters containing equal number of vowe...

    Text Solution

    |

  13. The number of 6-digit numbers that can be made with the digits 1, 2, 3...

    Text Solution

    |

  14. The number of six-digit numbers all digits of which are odd, is …… .

    Text Solution

    |

  15. The number of numbers divisible by 3 that can be formed by four differ...

    Text Solution

    |

  16. The number of five digit even numbers that can be made with the digits...

    Text Solution

    |

  17. Given that n is odd, number of ways in which three numbers in AP can b...

    Text Solution

    |

  18. One and only one straight line can be drawn passing through two given ...

    Text Solution

    |

  19. There are 10 points in a plane of which no three points are colline...

    Text Solution

    |

  20. There are three coplanar parallel lines. If any p points are taken ...

    Text Solution

    |