# One Line Elf, Two Line Elves, Three Line Elves...

**Discrete Mathematics**Level 3

I have a number of slave elves. They all either have Knobbly Knees, Baseball Eyes, Pointy Ears or a Wart on the nose. One day, Victor comes into my slave elf lab. He wants to help me classify the elves. Each elf can have at most 3 features, but a special type of elf called the "One Line Elf" has all four features. After some counting, Victor finds 20 elves with Baseball Eyes, 24 With Pointy Ears, 10 With A wart on the nose and 5 with knobbly knees. How many elves are there, including the "One Line Elves"? (Look for the minimal number)

P.S. (I wrote this to practise for my compo)

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