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Logic Level 2

You have n n elements, and they are distributed to sets A A , B B , and C C in a way that satisfies the following:

  1. Some elements of A A are in B B .
  2. Some elements of B B are in C C
  3. No elements of A A are in C C

What is the minimum value of n n ?


The answer is 2.

Blan Morrison by Blan Morrison , 18, USA

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2 solutions

Saya Suka
May 9, 2021

n = 2, 1 shared AB + 1 shared BC.

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Parth Sankhe
Nov 27, 2018

A and B will have common element, and B and C will have a common element. Hence a minimum of 2 elements.

If you consider that 'some elements of A are in B' means that there is at least 1 element in A not in B, then the answer would be 3.

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