Home
Class 12
MATHS
If for some m,n,^(6)C(m)+2(""^(6)C(m+1))...

If for some `m,n,^(6)C_(m)+2(""^(6)C_(m+1))+^(6)C_(m+2)>^(8)C_(3)` and `^(n-1)P_(3):^(n)P_(4)=1:8` ,then `""^(n)P_(m+1)+""^(n+1)C_(m)` is equal to

A

380

B

372

C

376

D

384

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

if .^(m+n)P_(2)=56 and .^(m-n)P_(3)=24 , then (.^(m)P_(3))/(.^(n)P_(2)) equals

If "^6C_(m 2)("6^C_(m+1))+"6C_(m+2)="^8C_3 (where m ne 1 ) & "^(n+1)P_3 / "^nP_4 = 1/8 , then value of "^(n+1)C_m "nP_m is

Prove that mC_(1)^(n)C_(m)-^(m)C_(2)^(2n)C_(m)+^(m)C_(3)^(3n)C_(m)-...=(-1)^(m-1)n^(m)

If m,n,r are positive integers such that r lt m,n, then ""^(m)C_(r)+""^(m)C_(r-1)""^(n)C_(1)+""^(m)C_(r-2)""^(n)C_(2)+...+ ""^(m)C_(1)""^(n)C_(r-1)+""^(n)C_(r) equals

^(n)C_(m)+^(n-1)C_(m)+^(n-2)C_(m)+............+^(m)C_(m)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Consider the function f:(0,oo)rarr R defined by f(x)=e^(-|log(e)x|) .I...

    Text Solution

    |

  2. Let z(1) and z(2) be two complex numbers such that z(1)+z(2)=5 and z(1...

    Text Solution

    |

  3. If for some m,n,^(6)C(m)+2(""^(6)C(m+1))+^(6)C(m+2)>^(8)C(3) and ^(n-1...

    Text Solution

    |

  4. If a = sin^(-1) (sin 5) and b = cos^(-1) (cos 5) then value of a^2 + b...

    Text Solution

    |

  5. If the mean and variance of 6 observations a, b, 68, 44, 48, 60 are 55...

    Text Solution

    |

  6. Let a variable line passing through the centre of the circle x^(2)+y^(...

    Text Solution

    |

  7. Let 2^("nd"),8^("th") and 44^("th") terms of a non-constant A.P. be re...

    Text Solution

    |

  8. An ellipse frac{x^2}{a^2}+frac{y^2}{b^2}=1 (a> b) whose eccentircity i...

    Text Solution

    |

  9. Let f,g:(0,oo)rarr R be two functions defined by f(x)=int(-x)^(x)(|t|-...

    Text Solution

    |

  10. Let f:rarr R rarr(0,oo) be strictly increasing function such that lim(...

    Text Solution

    |

  11. The temperature T(t) of a body at time t=0 is 160^(@)F and it decrease...

    Text Solution

    |

  12. The shortest distance,between lines L(1) and L(2) ,where L(1):(x-1)/(2...

    Text Solution

    |

  13. The number of ways in which 10 identical apples can be distributed amo...

    Text Solution

    |

  14. Let (alpha,beta,gamma) be the mirror image of the point (2,3,5) in the...

    Text Solution

    |

  15. The number of solutions of the equation e^(sin x) - 2e^(-sin x) = 2 is

    Text Solution

    |

  16. A coin is biased so that a head is twice as likely to occur as a tail....

    Text Solution

    |

  17. Let A be a 3times3 real matrix such that A([1],[0],[1])=2([1],[0],[1])...

    Text Solution

    |

  18. A line passes through A(4,-6,-2) and B(16,-2,4" .The point P(a,b,c) ,w...

    Text Solution

    |

  19. Let a,b,c be the lengths of three sides of a triangle satistying the c...

    Text Solution

    |

  20. Let A(-2,-1),B(1,0),C(alpha,beta) and D(gamma,delta) be the vertices o...

    Text Solution

    |