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

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 xinX 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 X = { 1,2,3,4}, Y = {a,b,c,d} and f={(1,a), (4,b), (2,c),(3,d),(2,d)}. Then f is

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 0 b. +-1 c. +-2 d. none of these

The equation of conjugate axis of the hyperbola x y-3y-4x+7=0 is (a) y+x=3 (b) y+x=7 (c) y-x=3 (d) none of these

Let y=f(x) be a function satisfying the differential equation (x d y)/(d x)+2 y=4 x^2 and f(1)=1 . Then f(-3) is equal to

The locus of the center of the circle touching the line 2x-y=1 at (1,1) is (a) x+3y=2 (b) x+2y=3 (c) x+y=2 (d) none of these

If three point A(x_(1), y_(1)), B(x_(2), y_(2)) and C(x_(3), y_(3)) will be collinear then the area of triangleABC= ____.

If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1 (d) none of these

Let f be a differentiable function from R to R such that abs(f(x)-f(y))abs(le2)abs(x-y)^(3//2) ,for all x,y inR .If f(0)=1 ,then int_(0)^(1)f^2(x)dx is equal to