Home
Class 11
MATHS
If .^(n+2) C(8) : ^((n-2)) P(4) = 57: 1...

If ` .^(n+2) C_(8) : ^((n-2)) P_(4) = 57: 16` , find the value of n.

Text Solution

Verified by Experts

The correct Answer is:
n = 20
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.4|15 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.2|20 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

Similar Questions

Explore conceptually related problems

If ""^(n+1)C_8 : ""^(n-3)P_4 = 57:16 , find the value of n.

If ""^(n)P_(5)=20 ^(n)P_(3)"" , find the value of n.

If ""^((n+2))C_(7):^((n-1))P_(4)=13:24 find n.

If (""^(n+2)C_(7))/ (""^(n-1)P_(4) )=11/42 , find n.

If ""^(n)P_r = ""^(n)P_(r-1) and ""^(n)C_(r) = ""^(n)C_(r-1) , find the values of n and r.

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of ndot

If .^(n+5) P_(n +1) = ((11(n-1))/2) .^(n +3) P_(n) then the value of n are

SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -EXERCISE 4.3
  1. Prove that .^(15)C(3) + 2 xx .^(15)C(4) + .^(15)C(5) = .^(17)C(5)

    Text Solution

    |

  2. Prove that .^(35)C(5) + sum(r=0)^(4^((39-r))) C(4) = .^(40)C(5)

    Text Solution

    |

  3. If .^(n+2) C(8) : ^((n-2)) P(4) = 57: 16 , find the value of n.

    Text Solution

    |

  4. Prove that .^(2n)C(n) = ( 2^(n) xx 1 xx 3 xx …(2n-1))/(n!)

    Text Solution

    |

  5. Prove that if 1 le r le n " then " n xx^((n-1))C(r-1)= (n-r+1).^(n)...

    Text Solution

    |

  6. A Kabaddi coach has 14 players ready to play. How many different...

    Text Solution

    |

  7. There are 15 persons in a party and if each 2 of then shakes hands w...

    Text Solution

    |

  8. How many chords can be drawn through 20 points on a circle ?

    Text Solution

    |

  9. In a parking lot one hundred one year old cars, are parked. Out of t...

    Text Solution

    |

  10. How many ways can a team of 3 boys, 2 girls and 1 transgender be se...

    Text Solution

    |

  11. Find the total number of subsets of a set with . (i) 4 elements (...

    Text Solution

    |

  12. A trust has 25 members . (i) How many ways 3 officers can be sel...

    Text Solution

    |

  13. How many ways a committee of six persons from 10 persons can be chosen...

    Text Solution

    |

  14. How many different selections of 5 books can be made from 12 differe...

    Text Solution

    |

  15. There are 5 teachers and 20 students . Out of them a committee of t...

    Text Solution

    |

  16. In an examination a student has a answer 5 questions, out of 9 quest...

    Text Solution

    |

  17. Determine the number of 5 card combinations out of a deck of 52 car...

    Text Solution

    |

  18. Find the number of ways of forming a committee of 5 members out of...

    Text Solution

    |

  19. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

    Text Solution

    |

  20. 7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also...

    Text Solution

    |