Home
Class 11
MATHS
Let A = {x1, x2, x3, ,x7},B={y1, y2, y3...

Let `A = {x_1, x_2, x_3, ,x_7},B={y_1, y_2, y_3}` The total number of functions `f: A->B` that are onto and there are exactly three element `x` in A such that `f(x)=y_2` is equal to a. `490` b. `510` c. `630` d. none of these

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Let X={a_1, a_2,.. ,a_6}a n dY={b_1, b_2,b_3}dot The number of functions f from xtoy such that it is onto and there are exactly three elements x in X such that f(x)=b_1 is 75 (b) 90 (c) 100 (d) 120

Let f(x) be real valued and differentiable function on R such that f(x+y)=(f(x)+f(y))/(1-f(x)dotf(y)) f(0) is equals a. 1 b. 0 c. -1 d. none of these

Let A =(x_1,x_2,x_3,x_4,x_5,x_6}B={y_1,y_2,y_3,y_4,y_5,y_6} then the number of one one mappings from A to B such that f(x_!)ney_i ,i=1,2,3,4,5,6 is

Let f be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x^3phi(x) for all x and y when phi (x) is a continuous function then f''(x) is equal to

If for a continuous function f,f(0)=f(1)=0,f^(prime)(1)=2 and y(x)=f(e^x)e^(f(x)) , then y^(prime)(0) is equal to a. 1 b. 2 c. 0 d. none of these

Let vec a_r=x_r hat i+y_r hat j+z_r hat k ,r=1,2,3 be three mutually perpendicular unit vectors, then the value of |[x_1,x_2,x_3],[y_1,y_2,y_3],[z_1,z_2,z_3]| is equal to a. 0 b. +-1 c. +-2 d. none of these

Let f(x) and g(x) be one-one onto functions where f : {a,b,c,d} rarr {1,2,3,4} and g : {3,4,5,6} rarr {w,x,y,z} respectively. The number of elements in the range set of g (f(x)) are

A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on the positive x- and y-axis. If this normal touches the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then a^2+b^2 is equal to (a) 5 (b) 25 (c) 16 (d) none of these

The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) meet on which of the following lines? (A) x = 3 (B) y = 3 (C) x + y = 4 (D) none of these

Let A=RR - {3} and B =RR-{1} . Prove that the function f: A rarr B defined by , f(x)=(x-2)/(x-3) is one-one and onto. Find a formula that defines f^(-1)

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. The total number of ways in which 2n persons can be divided into n ...

    Text Solution

    |

  2. Let x1 , x2 , x3,....., xk be the divisors of positive integer n (inc...

    Text Solution

    |

  3. Let A = {x1, x2, x3, ,x7},B={y1, y2, y3} The total number of func...

    Text Solution

    |

  4. The total number of ways in which n^2 number of identical balls...

    Text Solution

    |

  5. A committee of 12 is to be formed from nine women and eight men. In ho...

    Text Solution

    |

  6. Let Tn denote of the number of triangles which can be formed using the...

    Text Solution

    |

  7. In a group of boys, two boys are brothers and six more boys are pres...

    Text Solution

    |

  8. If N is the number of ways in which a person can walk up a stairwa...

    Text Solution

    |

  9. If, ^n Cr=84 , and ^n C(r-1)=36,and ^n C(r+1)=126 , then find the val...

    Text Solution

    |

  10. find 7C4

    Text Solution

    |

  11. Find the number of ways in which 22 different books can be given to 5 ...

    Text Solution

    |

  12. Consider the convex polygon, which has 35 diagonals. Then match the ...

    Text Solution

    |

  13. Find 5C0

    Text Solution

    |

  14. Consider a 6xx6 chessboard. Then match the following columns. Column I...

    Text Solution

    |

  15. Ten persons amongst whom are A,B and C are to speak at a function the ...

    Text Solution

    |

  16. In how many ways can three persons, each throwing a single dice once, ...

    Text Solution

    |

  17. In how many ways can a team of 11 players be formed out of 25 playe...

    Text Solution

    |

  18. Find the number of positive integral solutions of the inequality 3x+y+...

    Text Solution

    |

  19. How many integers between 1 and 10,00,000 have the sum of the digits e...

    Text Solution

    |

  20. Statement 1: Number of terms in the expansion of (x+y+z+w)^(50) is ""^...

    Text Solution

    |