Home
Class 11
MATHS
If .^(n)C(12) = .^(n)C(9) " find " .^(2...

If `.^(n)C_(12) = .^(n)C_(9) " find " .^(21) C_(n)`

Text Solution

Verified by Experts

The correct Answer is:
1
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)C_(8)=^(n)C_(6) , then find .^(n)C_(2) .

If ""^(n)C_(4)=""^(n)C_(6) find ""^(12)C_(n) .

If ""^(n)C_(8)=""^(n)C_(2) , find ""^(n)C_(2) .

Prove that .^(n)C_(1) + 2 .^(n)C_(2) + 3 .^(n)C_(3) + "…." + n . ^(n)C_(n) = n 2^(n-1) .

If ""^(n)C_(9)=""^(n)C_(8) , find ""^(n)C_(17) .

Find the sum 1.^(n)C_(0) + 3 .^(n)C_(1) + 5.^(n)C_(2) + "….." + (2n+1).^(n)C_(n) .

If .^(n)C_(r-1)=36, .^(n)C_(r)=84 and .^(n)C_(r+1)=126 , find n and r.

Prove that .^(n)C_(0) +5 xx .^(n)C_(1) + 9 xx .^(n)C_(2) + "…." + (4n+1) xx .^(n)C_(n) = (2n+1) 2^(n) .

In ""_(n)C_(12)=""_(n)C_(8) then n=

SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -EXERCISE 4.3
  1. If .^(n)C(12) = .^(n)C(9) " find " .^(21) C(n)

    Text Solution

    |

  2. If .^(15)C(2r-1) = .^(15)C(2r + 4) " find " r

    Text Solution

    |

  3. If .^(n)P(r) = 720 . " If " .^(n)C(r) = 120 " find " n , r

    Text Solution

    |

  4. Prove that .^(15)C(3) + 2 xx .^(15)C(4) + .^(15)C(5) = .^(17)C(5)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |