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Alphabetical Discovery

Stage: 2 and 3 Short Challenge Level: Challenge Level:1
In the word DISCOVER the distinct pairs of letters DC, IE, SO, VR occur in reverse alphabetical order, so we must delete at least one of the letters in each pair, in other words remove at least four letters. In fact this is all we need to remove e.g. DISV is in alphabetical order.

This problem is taken from the UKMT Mathematical Challenges.
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