Home
Class 11
MATHS
In a conference 10 speakers are present....

In a conference 10 speakers are present. If `S_1` wants to speak before `S_2a n dS_2` wants to speak after `S_3,` then find the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number.

Text Solution

AI Generated Solution

To solve the problem of arranging 10 speakers with the given restrictions, we can follow these steps: ### Step 1: Understand the Restrictions We have 10 speakers: S1, S2, S3, and 7 others. The restrictions are: - S1 must speak before S2. - S2 must speak after S3. ### Step 2: Total Arrangements Without Restrictions ...
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos
  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

There are two bosy B_(1) and B_(2) . B_(1) and n_(1) different toys and B_(2) and n_(2) different toys. Find the number of ways in which B_(1) and B_(2) can exchange their toys in such a way that after exchanging they still have same number of toys but not the same set.

Avarage lifetime of a hydrogen atom excited to n =2 state 10^(-6)s find the number of revolutions made by the electron on the avarage before it jump to the ground state

Among 10 persons, A, B, C are to speak at a function. The number of ways in which it can be done if A wants to speak before B and B wants to speak before C is a. 10 !//24 b. 9!//6 c. 10 !//6 d. none of these

Two identical speakers emit sound waves of frequency 680 H_(Z) uniformly in all directions with a total audio output of 1 mW each. The speed of sound in air is 340 m//s . A point P is a distance 2.00 m from one speaker and 3.00 m from the other. (a) Finf the intensity I_(1) and I_(2) from rach speaker at point p separately. (b) If the speakers are driven coherently and in phase, what is the intensity at point p ? (c ) If they driven coherently but of phase by 180^(@) , what is the intensity at point P ? (d) If the speakers are incoherent, what is the intensity at point p ?

In a shooting competition a man can score 5, 4, 3, 2, 1 or 0 points for each shot. Then the number of different ways in which he can score 10 in seven shots is

Statement 1: Number of ways in which Indian team (11 players) can bat, if Yuvraj wants to bat before Dhoni and Pathan wants to bat after Dhoni is 11!/3!. Statement 2: Yuvraj, Dhoni, and Pathan can be arranged in batting order in 3! ways.

A radioactive sample S_1 having an activity of 5muCi has twice the number of nuclei as another sample S_2 which has an activity of 10muCi . The half-lives of S_1 and S_2 can be

Sixteen players S_(1) , S_(2) , S_(3) ,…, S_(16) play in a tournament. Number of ways in which they can be grouped into eight pairs so that S_(1) and S_(2) are in different groups, is equal to

Find the number of ways in which 10 condidates A_(1),A_(2),......,A_(10) can be ranked so that A_(1) is always above A_(2) ,

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Passengers are to travel by a double decked bus which can accommodate ...

    Text Solution

    |

  2. A delegation of four students is to be selected from al total of 12 ...

    Text Solution

    |

  3. In a conference 10 speakers are present. If S1 wants to speak before S...

    Text Solution

    |

  4. Five boys and five girls sit alternately around a round table. In how ...

    Text Solution

    |

  5. Find the number of ways in which A A A B B B can be places in the squa...

    Text Solution

    |

  6. A regular polygon of 10 sides is constructed. In how many way can 3...

    Text Solution

    |

  7. In ;a plane, there are 5 straight lines which will pass through a give...

    Text Solution

    |

  8. If ^15 C(3r):^(15)C(r+1)=11 :3 , find the value of rdot

    Text Solution

    |

  9. If the ratio ^2n C3:^n C3 is equal to 11:1 find ndot

    Text Solution

    |

  10. There are n married couples at a party. Each person shakes hand with e...

    Text Solution

    |

  11. Twenty-eight games were played in a football tournament with each team...

    Text Solution

    |

  12. In a certain an algebraical exercise book there and 4 examples on a...

    Text Solution

    |

  13. In a network of railways, a small island has 15 stations. Find the ...

    Text Solution

    |

  14. A person tries to form as many different parties as he can, out of his...

    Text Solution

    |

  15. Find the number of ways of selecting 3 pairs from 8 distinct objects.

    Text Solution

    |

  16. Out of 10 consonants and 4 vowels, how many words can be formed each ...

    Text Solution

    |

  17. In how many of the permutations of n thing taken r at a time will thre...

    Text Solution

    |

  18. If ^(22)P(r+1):^(20)P(r+2)=11 : 52 ,find r

    Text Solution

    |

  19. If ^(56)P(r+6):^(54)P(r+3)=30800 :1, find r.

    Text Solution

    |

  20. Five persons entered the lift cabin on the ground floor of an 8-floor ...

    Text Solution

    |