Assignment:
Sarah, Jolly and Betty are female triplets. They and their 10 cousins are posing for a series of photographs. One pose involves all 13 children. How many ways can the 7 boys and 6 girls be arranged in one row under each of the following conditions?
a) The boys and girls must alternate positions.
b) The triplets must stand next to each other.
Provide complete and step by step solution for the question and show calculations and use formulas.