Home
Class 12
MATHS
The number of ways of seven digit number...

The number of ways of seven digit number with distinct digits of the form `a_(1)a_(2)a_(3)a_(4)a_(5)a_(6)a_(7),(a_9(i)!=0AAi=1,2,.7)` be present in decimal system such that `a_(1)lta_(2)lta_(3)lta_(4)gta_(5)gta_(6)gta_(7)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If a_(1)+a_(2)+a_(3)+a_(4)+a_(5)...+a_(n) for all a_(i)>0,i=1,2,3dots n. Then the maximum value of a_(1)^(2)a_(2)a_(3)a_(4)a_(5)..a_(n) is

The number of n on negative integral solutions to the system of equations a_(1)+a_(2)+a_(3)+a_(4)+a_(5)=25 and a_(1)+a_(2)+a_(3)=10 are

A seven digit number of the form a_(1)a_(2)a_(3)a_(4)a_(5)a_(6)a_(7) (ali digits are different) is randomly formed.If N denotes the number of numbers of the form a_(1)>a_(2)a>a_(3)>a_(4)

If a_(1),a_(2),a_(3),a_(4),a_(5),a_(6) are in A.P , then prove that the system of equations a_(1)x+a_(2)y=a_(3),a_(4)x+a_(5)y = a_(6) is consistent .

Let A be the set of 4 -digit numbers a_(1)a_(2)a_(3)a_(4) where a_(1)>a_(2)>a_(3)>a_(4), then n(A) is equal to

(a_(1))/(a_(1)+a_(2))+(a_(3))/(a_(3)+a_(4))=(2a_(2))/(a_(2)+a_(3))

Let S be the set of 6 -digit numbers a_(1)a_(2)a_(3)a_(4)a_(5)a_(6) (all digits distinct) where a_(1)>a_(2)>a_(3)>a_(4)

If a_(1),a_(2),a_(3),...,a_(100) are in A P such that a_(1)+a_(3)+a_(4)+a_(3)+a_(7)=20 then a_(4)=

RESONANCE DPP-JEE MAINS-All Questions
  1. If A is square matrix such that A^2=A , then (I+A)^3-7A is equal to ...

    Text Solution

    |

  2. 1/((a+b)(b+c)(c+a)) |[-2a, a+b, a+c] , [b+a, -2b, b+c] , [c+a, c+b, -2...

    Text Solution

    |

  3. The number of ways of seven digit number with distinct digits of the f...

    Text Solution

    |

  4. a, b, c in R, a!= 0 and the quadratic equationax^2+bx+c=0 has no real ...

    Text Solution

    |

  5. If the vectors vec (a) = 2 hat (i) - hat (j) + hat (k) , vec ( b) = h...

    Text Solution

    |

  6. The projection of point P( vec p) on the plane vec rdot vec n=qi s( v...

    Text Solution

    |

  7. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

    Text Solution

    |

  8. If u and v are the roots of the equation x^2+2x-2=0 , then the value o...

    Text Solution

    |

  9. If A O, then I+ A A2 (where I is the unit matrix of order same as that...

    Text Solution

    |

  10. If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1)) is an onto...

    Text Solution

    |

  11. inte^(x)((1+sinx)/(1+cosx))dx=

    Text Solution

    |

  12. (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn)=(C0C1C2.....C(n-1)(...

    Text Solution

    |

  13. It is given that the Rolles theorem holds for the function f(x)=x^3...

    Text Solution

    |

  14. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  15. The number of solution of the equation (x+2)^(log(x+2)(6+x-x^(2)))=(x-...

    Text Solution

    |

  16. The mean and variance of a binomial distribution (p+q)^n are 20 and 16...

    Text Solution

    |

  17. If N=(1-cos4beta)/(sec^2 2beta-1)+(1+cos4beta)/(cosec^2 2beta-1) then ...

    Text Solution

    |

  18. The radius of the circle touching the line x+y=4" at "(1, 3) and inter...

    Text Solution

    |

  19. Bag I contains 3 red and 4 black balls while another Bag II contain...

    Text Solution

    |

  20. 5/4-7/6-(-2)/3=\ 3/4 (b) -3/4 (-7)/(12) (d) 7/(12)

    Text Solution

    |