Let A={x(1),x(2),x(3)....,x(7)},B={y(1)y...

Let `A={x_(1),x_(2),x_(3)....,x_(7)},B={y_(1)y_(2)y_(3)}`. The total number of functions `f:AtoB` that are onto and ther are exactly three elements x in A such that `f(x)=y_(2)`, is equal to

`(14)(""^(7)C_(2))`

`(16)(""^(7)C_(3))`

`(12)("'^(7)C_(2))`

`(14)(""^(7)C_(3))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SETS, RELATIONS AND FUNCTIONS
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos
SETS, RELATIONS AND FUNCTIONS
MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|20 Videos
QUADRATIC EQUATIONS
MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
STATISTICS
MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

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

Let X={a_(1),a_(2),...,a_(6)} and Y={b_(1),b_(2),b_(3)} The number of functions f from x to y 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

Consider set A={x_(1),x_(2),x_(3),x_(4)} and set B={y_(1),y_(2),y_(3)} Function f is defined from A to B

Let A={x_(1),x_(2),x_(3),x_(4)),B={y_(1),y_(2),y_(3),y_(4)} and function is defined from set Ato set B Number ofone- one function such that f(x_(1))!=y_(1) for i=1,2,3,4 is equal to

Consider set A = {x_(1), x_(2), x_(3), x_(4), x_(5)} and set B = {y_(1), y_(2), y_(3)} . Function f is defined from A to B. Number of function from A to B such that f(x_(1)) = y_(1) and f(x_(2)) != y_(2) is

If f(x) be a differentiable function such that f(x+y)=f(x)+f(y) and f(1)=2 then f'(2) is equal to

Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)=2. f'(3) is equal to

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS

Let A and B be two sets containing four and two elements respective...
Text Solution
|
In a certain town 25% families own a phone and 15% own a car, 65% fami...
Text Solution
|
Let A={x(1),x(2),x(3)....,x(7)},B={y(1)y(2)y(3)}. The total number of ...
Text Solution
|
If f(x)+2f((1)/(x))=3x, x ne 0 and S={x in R: f(x) = f(-x)}, " then ...
Text Solution
|
If the function,f:[1,oo]to [1,oo] is defined by f(x)=3^(x^(x-1)), then...
Text Solution
|
For x in R , x ne0, 1, let f(0)(x)=(1)/(1-x) and f(n+1)(x)=f(0)(f(n)...
Text Solution
|
The function f: Rvec[-1/2,1/2] defined as f(x)=x/(1+x^2), is : Surject...
Text Solution
|
Let a, b, c in R. If f (x) = ax^(2) + bx + c is such that a + b + c = ...
Text Solution
|
let f(x)=2^(10)x+1 and g(x)=3^(10)x+1. If fog(x)=x, then x is equal to
Text Solution
|
The function f:N->N defined by f(x)=x-5[x/5] where N is a set of natur...
Text Solution
|
Let Z be the set of integers. If A = {x in Z : 2(x + 2)(x^(2) - 5x + 6...
Text Solution
|
Let N denotes the set of all natural numbers. Define two binary relati...
Text Solution
|
Consider the following two binary relations on the set A={a,b,c} R(1...
Text Solution
|
Two sets A and B are as under A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt...
Text Solution
|
Let S = {x in R: x ge0 and 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0} The...
Text Solution
|
Let f: A->B be a function defined as f(x)=(x-1)/(x-2), where A=R-{2) a...
Text Solution
|
For x in R-{0,1}, " let " f(1)(x)=(1)/(x), f(2)(x)=1-x and f(3)(x)=(1)...
Text Solution
|
Let f(x)=a^(x)(a gt 0) be written as f(x)=f(1)(x)+f(2)(x), " where " f...
Text Solution
|
Let A ={x in R : x is not an integer} Define f : A to R as f(x) = (2x)...
Text Solution
|
Let N be the set of numbers and two functions f and g be defined as f,...
Text Solution
|