Question

Q-The number of relations that can be defined on a set A={1,3,5,7} is

please give correct answer
other wise i will delete your all answers :p

Answer 1

Answer:

Option 1) 2⁴ is the the answer

Step-by-step explanation:

We know that if P and Q are 2 sets with n(P) = p and n(Q) = q then we know that Number of relations of P on Q n(P × Q) = pq

Similarly, here both P and Q is A

p = 4 and q = 4

Hence, n(A × A) = 4 × 4 = 16 = 2⁴.

Thus, The number of relations that can be defined on a set A={1,3,5,7} is 2⁴

Hope it helps!!