If a set A has 10 elements and set B has 5 elements what is the number of injective, surgetive and bijective functions from A to B

As injective means one to one correspondence , And A = 10 and B = 5
So injective is not possible .
As some element of B will surely take more than one element of A.

And bijective means injective and surjective together , so as it is not injective , so case of bijection won't occur.

And the number of surjection if A > B is beyond the scope of class 12th.
You will study it in higher classes.

  • -1
What are you looking for?