A child had 5 friends at her birthday party. The children opened a box containing 21 pieces of candy. Each piece of candy was received by a child. There were no other pieces of candy received by the children at the party. Did each child at the party receive at least 1 piece of candy from the box?

1. Each child received a different number of candies.

2. The birthday girl received 6 pieces of candy, which was more than any other child.

A:Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C:BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D:EACH statement ALONE is sufficient.

E:Statements (1) and (2) TOGETHER are NOT sufficient.