# Explanation of the Quiz

## Question 1

"We can find two different baskets that have no common fruit on their labels". True for the case when there are exactly 4 kinds of fruits False for the case when there are exactly 3 kinds of fruits

## Question 2

"There is a basket that can hold all the fruits" False because it violates Rule 3.

## Question 3

Which of the following statement is always true? 1. Any two baskets have at most one common fruit in their labels (True) 2. Number of fruits = Number of baskets (False for the case when there are exactly 4 kinds of fruits) 3. Each basket has exactly two fruits on its label (False for the case when there are exactly 4 kinds of fruits) 4. There is a basket that cannot hold any fruit (False because it violates Rule 1)

## Question 4

Which rule does the following example break? Fruits: apples, oranges and pears. 3 Baskets: Basket I - apples and oranges Basket II - apples and pears Basket III - apples and oranges and pears The example breaks Rule 1.

## Question 5

Which rule does the following example break? Fruits: apples, oranges, bananas and pears 4 Baskets: Basket I - apples and oranges Basket II - apples and pears Basket III - apples and bananas Basket IV - oranges, pears and bananas Actually this is one of the two possible examples for the case when there are exactly 4 kinds of fruits i.e. it doesn't break any rule.