In the context of group theory, assume H is a normal subgroup of G, K is a conjugacy class of G contained in H, and x∈K. Prove that K is a union of K conjugacy classes of equal size in H, where K={g:h∈H,cc(x)=1}.Which of the following statements is true regarding the given scenario?
a) K consists of elements that commute with x.
b) K consists of elements in H that commute with x.
c) K consists of elements in G that commute with x.
d) K consists of elements in H that are conjugate to x.