Home
Class 12
MATHS
""^(14)C(4)+sum(j=1)^(4)""^((18-j))C(3) ...

`""^(14)C_(4)+sum_(j=1)^(4)""^((18-j))C_(3)` is equal to

A

`""^(14)C_(5)`

B

`""^(18)C_(5)`

C

`""^(18)C_(4)`

D

`""^(19)C_(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-II|229 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

sum_(i=1)^(n) sum_(j=1)^(i) sum_(k=1)^(j) 1, is equal to

""^(14) C_(4) + overset(4) sum ( 18 - j ) C _(3) =

Prove ""^(25)C_4+sum_(r=0)^4"^((29-r))C_3=^(30)C_4

If ""^(n+1)C_(3)=4(""^(n)C_(2)) , then n is equal to

If (1+x)^(n)=sum_(r=0)^(n)""^(n)C_(r )x^(r ) and if sum_(r=0)^(n) (1)/(""^(n)C_(r ))=lambda , then show that sum_(0 leilen) sum_(0 le j len) ((i)/(""^(n)C_(i)) +(j)/(""^(n)C_(j)))=n(n+1)lambda

Prove the following sum_(i=1)^(n) sum_(j=1)^(n) sum_(k=1)^(n) sum_(l=1)^(n) (1)=n^(4)

""^(47 ) C_(4 )+ underset( j =1) overset( 5 ) sum ""^((52- j)) C_(3)=

sum_(0ltilt)sum_(jlen)(C_(i)+C_(j))=(n)*2^(n)

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-PRACTICE EXERCISE
  1. ""^(15)C(8)+""^(15)C(9)-""^(15)C(6)-""^(15)C(7) is equal to

    Text Solution

    |

  2. If ""^(18)C(15)+2(""^(18)C(16))"+"^(17)C(16)+1=""^(n)C(3) then n is

    Text Solution

    |

  3. ""^(14)C(4)+sum(j=1)^(4)""^((18-j))C(3) is equal to

    Text Solution

    |

  4. If p and q are the greatest values of ""^(2n)C(r) and ""^(2n-1)C(r) re...

    Text Solution

    |

  5. If ""^(n+1)C(3)=4(""^(n)C(2)), then n is equal to

    Text Solution

    |

  6. ""^(2n)C(2)-2""^(n)C(2)=

    Text Solution

    |

  7. The least positive integral value of x which satisfies the inequality ...

    Text Solution

    |

  8. The least value of the natural numbar 'n' satisfying C(n,5)+C(n,6)gtC(...

    Text Solution

    |

  9. If ""^(n)C(r-1):""^(n)C(r):""^(n)C(r+1)=2:4:5 then (n,r) is

    Text Solution

    |

  10. ""^(n) C(r-1) = 330 ,""^(n)C(r)=462 , ""^(n)C(r+1) = 462 implies r=

    Text Solution

    |

  11. ""^(37)C(4)+sum(r=1)^(5)(42-r)(C(r))=

    Text Solution

    |

  12. The number of ways that 3 English, 3 Hindi & 3 Telugu books can be cho...

    Text Solution

    |

  13. The number of ways can 5 red and 4 white balls be drawn from a bag con...

    Text Solution

    |

  14. Every body in a room shakes hands with every body else. The total numb...

    Text Solution

    |

  15. Let A be the set of 4-digit numbers a(1)a(2)a(3)a(4) where a(1)gta(2)g...

    Text Solution

    |

  16. The number of ways in which 5players are selected from 10 players so ...

    Text Solution

    |

  17. Out of 6 gentlmen and 4 ladies a committee of 5 is to be ...

    Text Solution

    |

  18. The number of ways that 6 questions can be chosen out of 9 questions s...

    Text Solution

    |

  19. The number of ways in which 7 players can be selected from a batch of ...

    Text Solution

    |

  20. A person wishes to make up as many different parties of 10 as he can o...

    Text Solution

    |