Home
Class 12
MATHS
In how many different ways can five boys...

In how many different ways can five boys and five girls form a circle such that the boys and girls alternate?

Text Solution

AI Generated Solution

To solve the problem of how many different ways five boys and five girls can form a circle such that the boys and girls alternate, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Arrangement**: - We need to arrange 5 boys and 5 girls in a circle such that they alternate. This means that if a boy sits in one position, the next position must be occupied by a girl, and vice versa. 2. **Fixing One Person**: ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples: Single Matching Type Questions|1 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|11 Videos
  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos
  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|54 Videos

Similar Questions

Explore conceptually related problems

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

The total number of ways in which 4 boys and 4 girls can form a line, with boys and girls alternating, is

In how many ways can 10 boys and 5 girls sit around a circular table , so that no two girls sit together?

In how many ways can 3 boys and 3 girls can be selected from 5 boys and 3 girls?

In how many ways can 4 boys and 5 girls can stand such that no two boys are together.

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate?

In how many ways can a party of 4 boys and 4 girls be seated at a circular table so that no 2 boys are adjacent?

In how many ways can 7 boys and 2 girls be seated in a row so that two giirls are together ?

In how many wys can 4 boys and 3 girls be seated ina row so that no two girls are together?

In how many ways can 5 boys and 3 girls be seated in a row so that each girl is between 2 boys?

ARIHANT MATHS ENGLISH-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In how many different ways can five boys and five girls form a circle ...

    Text Solution

    |

  2. There is a rectangular sheet of dimension (2m-1)xx(2n-1), (where m > 0...

    Text Solution

    |

  3. If the letters of the word SACHIN are arranged in all possible ways...

    Text Solution

    |

  4. lf r, s, t are prime numbers and p, q are the positive integers such t...

    Text Solution

    |

  5. At an election a voter may vote for nany number of candidates , not gr...

    Text Solution

    |

  6. The letters of the word COCHIN are permuted and all the permutation...

    Text Solution

    |

  7. The set S""=""{1,""2,""3,""........ ,""12) is to be partitioned into...

    Text Solution

    |

  8. Consider all possible permutations of the letters of the word ENDEANOE...

    Text Solution

    |

  9. How many different words can be formed by jumbling the letters in the ...

    Text Solution

    |

  10. In a shop, there are five types of ice-creams available. A child buys ...

    Text Solution

    |

  11. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  12. From 6 different novels and 3 different dictionaries, 4 novels and ...

    Text Solution

    |

  13. There are two urns. Urn A has 3 distinct red balls and urn B has 9 ...

    Text Solution

    |

  14. Statement-1: The number of ways of distributing 10 identical balls in ...

    Text Solution

    |

  15. There are 10 points in a plane, out of these 6 are collinear. The numb...

    Text Solution

    |

  16. The total number of ways in which 5 balls of differert colours can be ...

    Text Solution

    |

  17. Let n denote the number of all n-digit positive integers formed by the...

    Text Solution

    |

  18. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  19. Assuming the balls to be identical except for difference in colours, t...

    Text Solution

    |

  20. Let Tn be the number of all possible triangles formed by joining ve...

    Text Solution

    |

  21. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |