Home
Class 12
MATHS
The total number of injections (one-one ...

The total number of injections (one-one into mapping) (from `{a_(1),a_(2),a_(3),a_(4)}` to `{b_(1),b_(2),b_(3),b_(4),b_(5),b_(6),b_(7))` is

A

400

B

420

C

800

D

840

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The total number of injections (one -one into mappings ) from { a_(1),a_(2),a_(3) ,a_(4)}"to"{b_(1),b_(2),b_(3),b_(4),b_(5),b_(6),b_(7)} is -

The total number of infections (one-one into mappings) from {a_1,a_2,a_3,a_4} to {b_1,b_2,b_3,b_4,b_5,b_6,b_7} is

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati + b_(2)hatj + b_(3)hatk and vecc=c_(1)hati +c_(2)hatj +c_(3)hatk be three non-zero vectors such that vecc is a unit vector perpendicular to both vectors, veca and vecb . If the angle between veca and vecb is pi//6 "then" |{:(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3)):}|^(2) is equal to

If a_(r)= (cos 2r pi + i sin 2r pi)^(1/9) . Then the value of |(a_(1),a_(2),a_(3)),(a_(4),a_(5),a_(6)),(a_(7),a_(8),a_(9))| is

If the determinant of the matrix [(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))] is denoted by D, then the determinant of the matrix [(a_(1)+3b_(1)-4c_(1),b_(1),4c_(1)),(a_(2)+3b_(2)-4c_(2),b_(2),4c_(2)),(a_(3)+3b_(3)-4c_(3),b_(3),4c_(3))] will be -

Find the coordinates of the centriod of the triangle whose vertices are ( a_(1), b_(1), c_(1)) , (a_(2), b_(2), c_(2)) and (a_(3), b_(3), c_(3)) .

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non-zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is pi//6 then the value of |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|"is"

Let veca=a_(1)hati+a_(2)hatj+a_(3)hatk,vecb=b_(1)hati+b_(2)hatj+b_(3)hatk and vecc=c_(1)hati+c_(2)hatj+c_(3)hatk be three non-zero vectors such that vecc is a unit vector perpendicular to both veca and vecb . If the angle between veca and vecb is pi//6 then the value of |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|"is"

The number of increasing function from f : AtoB where A in {a_(1),a_(2),a_(3),a_(4),a_(5),a_(6)} , B in {1,2,3,….,9} such that a_(i+1) gt a_(i) AA I in N and a_(i) ne i is (a) 30 (b) 28 (c) 24 (d) 42

Represent the following equations in matrix form: a_(1)x+b_(1)y+c_(1)=0 a_(2)x+b_(2)y+c_(2)=0

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. If P,Q,R are angles of triangle PQR then the value of |{:(-1, cos R, c...

    Text Solution

    |

  2. The number of real values of alpha for which the system of equations {...

    Text Solution

    |

  3. The total number of injections (one-one into mapping) (from {a(1),a(2)...

    Text Solution

    |

  4. Let (1+x)^10= sum(r=0)^(10)c(r) x^(r), and (1+x)^(7)= sum(r=o)^(7)d(r)...

    Text Solution

    |

  5. Two decks of playing cards are well shuffled and 26 cards are randomly...

    Text Solution

    |

  6. An run contains 9 red and 5 white balls. Three balls are drawn at rand...

    Text Solution

    |

  7. Two coins are available, one fair the other two- headed. Choose a coin...

    Text Solution

    |

  8. Let R be the set of real numbers and the function f: RR to RR and g: R...

    Text Solution

    |

  9. If a,b,c are in arithmetic progression then the roots of the equation ...

    Text Solution

    |

  10. The equation y^(2)+4x+4y+k=0 represents a parabola whose latus rectum ...

    Text Solution

    |

  11. If the circles x^(2)+y^(2)+2x+2ky+6=0 and x^(2)+y^(2)+2ky+k=0 intersec...

    Text Solution

    |

  12. If four distinct points (2k, 3k) (2,0) (0,3) (0,0) lie on a circle, th...

    Text Solution

    |

  13. The line joining A( b cos alpha, b sin alpha) and B( a cos beta, alpha...

    Text Solution

    |

  14. Let the foci of the ellipse (x^(2))/(9)+y^(2)=1 subtend a right angle ...

    Text Solution

    |

  15. The general solution of the differential equation (dy)/(dx)=(x+y+1)/(2...

    Text Solution

    |

  16. The value of the integral int(pi//6)^(pi//2) ((1+sin 2x+cos 2x)/(sin x...

    Text Solution

    |

  17. The valueof the integral int(0)^((pi)/(2)) (1)/(1+(tanx)^(101))dx is e...

    Text Solution

    |

  18. The integrating factor of the differential equation 3xlog(e)x(dy)/(dx)...

    Text Solution

    |

  19. Number of solutions of the equation tan x+sec x=2 cos, x, in {0, pi} i...

    Text Solution

    |

  20. The value of the integral int (0)^((pi)/(4)) (sin x+cosx)/(3+ sinx2x)d...

    Text Solution

    |