2025 RVHS P2 Q6

A Pizzeria sells pizza by individual slices. \(8\) slices forms a full pizza.

1. A group of three friends bought \(4\) slices of Hawaiian, \(1\) slice of pepperoni, \(1\) slice of seafood, \(1\) slice of cheese, and \(1\) slice of vegetarian pizzas. Find the number of ways the pizza slices bought could be arranged in a circle such that the \(4\) slices of Hawaiian pizzas are placed together.[1]
2. The three friends each eat a slice of Hawaiian pizza. They then want to distribute the remaining \(5\) slices amongst the three of them. Find the number of ways this can be done such that everyone gets at least one more slice of pizza.[3]