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.