Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2010MathematicsFunctionsActual

Let (E= 1,2,3,4 ) and (F= 1,2 ). Then the number of onto functions from ( E ) to ( F ) is

Options

  1. A14
  2. B16
  3. C12
  4. D8

Correct answer

A. 14

Step-by-step solution

If set (A ) has (m ) elements and set (B ) has ( n ) elements then number of onto functions from (A ) to (B ) is ( _ r=1 ^n(-1)^ n-r ^n C_r r^m where 1 n m ) Here (E= 1,2,3,4 , F= 1,2 ) (m=4, n=2 ) ( ) No. of onto functions from ( E ) to ( F ) ( aligned & = _ r=1 ^2(-1)^ 2-r ~2 C_r(r)^4 & =(-1)^2 C₁+ ^2 C₂(2)^4=-2+16=14 aligned )

Practice Functions on Quantrex Academy →

More from Functions

Let [x] denote the greatest integer x . If f(x)=[x] and g(x)=|x| , then the value of f (g ( 8 5 ) )-g (f (- 8 5 ) ) is 2024Number of real solution of 5- ₂|x| =3- ₂|x| is equal to 2024f(x)= x [ 2 x ]+ 1 2 , where x is not an integral multiple of and [.] denotes the greatest integer function, is 2024The function f: R R defined by f(x)= x 1+x^2 is 2024If f: R R, g: R R are defined by f(x)=5 x-3, g(x)=x^2+3 , then g o f⁻¹(3) is equal to 2024The domain of the real valued function f(x)= 2 x^2-7 x+5 3 x^2-5 x-2 is 2024If a function f : R - l R - m defined by f(x)= x+3 x-2 is a bijection, then 3 l+2 m= 2024f(x)= x+ x, g(x)=x^2-1 , then g(f(x)) is invertible if 2024 Full Functions list All BITSAT PYQs