Home
Class 12
MATHS
If ""^(n)C(3) + ""^(n)C4 gt ""^(n+1) C3...

If `""^(n)C_(3) + ""^(n)C_4 gt ""^(n+1) C_3 , ` then.

A

`n gt 6`

B

`n lt 6`

C

`n gt 7`

D

`n lt 7`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|18 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|26 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|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

""^(n-1)C_3+""^(n-1)C_4 gt ""^(n)C_3 if

If ""^(n-1)C_(3)+""^(n-1)C_(4)gt""^nC_(3) , then

If n is even and ""^(n)C_(0)lt""^(n)C_(1) lt ""^(n)C_(2) lt ....lt ""^(n)C_(r) gt ""^(n)C_(r+1) gt""^(n)C_(r+2) gt......gt""^(n)C_(n) , then, r=

Determine n if (i) ""^(2n)C_(3) : ""^(n)C_(3) = 12:1 (ii) ""^(2n)C_(3): ""^(n)C_(3)= 11:1

((1 + ""^nC_1 + ""^nC_2 + ""^nC_3+…….+nC_n)^2)/(1 + ""^(2n)C_1 + ""^(2n)C_2 + ""^(2n)C_3 + ……… + ""^(2n)C_(2n)) =

Prove that .^(n-1)C_(3)+.^(n-1)C_(4) gt .^(n)C_(3) if n gt 7 .

If ([""^(n)C_(r) + 4*""^(n)C_(r+1) + 6*""^(n)C_(r+2)+ 4*""^(n)C_(r+3) + ""^(n)C_(r+4)])/([""^(n)C_(r) + 3. ""^(n)C_(r+1)+ 3*""^(n)C_(r+2) + ""^(n)C_(r +3)])=(n + lambda)/(r+lambda) the value of lambda is

Prove that .^(n)C_(1) + 2 xx .^(n)C_(2) + 3 xx .^(n)C_(3) + "…." + n xx .^(n)C_(n) = n2^(n-1) . Hence, prove that .^(n)C_(1).(.^(n)C_(2))^(2).(.^(n)C_(3))^(3)"......."(.^(n)C_(n))^(n) le ((2^(n))/(n+1))^(.^(n+1)C_(2)) AA n in N .

The inequality .^(n+1)C_(6)-.^(n)C_(4) gt .^(n)C_(5) holds true for all n greater than ________.

If .^(n)C_(r-1): .^(n)C_(r): .^(n)C_(r+1)=3:4:5 , find the values of n and r.

ARIHANT MATHS ENGLISH-PERMUTATIONS AND COMBINATIONS -Exercise For Session 4
  1. If \ ^(43)C(r-6)=\ ^(43)C(3r+1)\ then the value of r is a. 12 b. 8 c....

    Text Solution

    |

  2. If ^18C15+2 ^18C16+^17C16+1=^nC3, then n=

    Text Solution

    |

  3. If .^(20)C(n+1) = ^ (n) C(16), then the value of n is a.7 b. 10 c....

    Text Solution

    |

  4. The value of expression ^47 C4+sum(j=1)^5^(52+j)C3 is equal to a.^47 C...

    Text Solution

    |

  5. If ""^(n)C(3) + ""^(n)C4 gt ""^(n+1) C3 , then.

    Text Solution

    |

  6. The solution set "^10C(x-1)>2."^10Cx is

    Text Solution

    |

  7. if .^(2n)C(2):^(n)C(2)=9:2 and .^(n)C(r)=10, then r is equal to

    Text Solution

    |

  8. If .^(2n)C(3):^(n)C(2)=44:3, for which of the following value of r, th...

    Text Solution

    |

  9. If ^n Pr=^n P(r+1)a n d^n Cr=^n C(r-1,) then the value of n+r is.

    Text Solution

    |

  10. If .^nPr=840, .^nCr=35, then find n=

    Text Solution

    |

  11. If .^(n)P(3)+.^(n)C(n-2)=14n, the value of n is (a) 5 (b) 6 (c) 8 (d)...

    Text Solution

    |

  12. There are 12 volleyball players in all in a college, out of which a te...

    Text Solution

    |

  13. In how many ways can a team 11 players be formed out of 25 players,...

    Text Solution

    |

  14. A man has 10 friends. In how many ways he can invite one or more of th...

    Text Solution

    |

  15. In an examinations there are three multiple choice questions and each ...

    Text Solution

    |

  16. In an election, the number of candidates is one greater than the per...

    Text Solution

    |

  17. Find the number of groups that can be made from 5 different green ball...

    Text Solution

    |

  18. A person is permitted to select at least one and at most n coins from ...

    Text Solution

    |