Let a and B Be Two Sets Such that N(A) = p and N(B) = q, Write the Number of - Maths - Polynomials

Question

Let a and B Be Two Sets Such that N(A) = p and N(B) = q, Write
the Number of Functions from A to B
How is the answer pq ?

Arnab Gupta · Accepted Answer

Dear student,

Let A and B are two sets having p and q elements respectively In a
function from A to B, every element of A must be mapped to an
element of B Therefore, each element of A has ‘q’
elements to be chosen from Therefore, the total number of functions
will be q×q×q p times = qp

Regards!

Let a and B Be Two Sets Such that N(A) = p and N(B) = q, Write the Number of Functions from A to B.