If R is a ring, is any ring homomorphism from R X R into R surjective? True or false? Please provide a reason for your answer.
Options:
A) True, because any ring homomorphism from R X R into R is surjective.
B) True, because any ring homomorphism from R X R into R is not surjective.
C) False, because any ring homomorphism from R X R into R is surjective.
D) False, because any ring homomorphism from R X R into R is not surjective.