In Tom's pocket there are 8 watermelon jelly babies, 4 vanilla jelly babies and 4 butter popcorn jelly babies. What is the smallest number of jelly babies he must take out of his pocket to be certain that he takes at least one of each flavour?
If you liked this problem, here is an NRICH task
that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.