AMC / AIME · Inclusion-Exclusion · Medium

Inclusion-Exclusion: How many length-math binary strings contain no two consecutive maths?

Unions without double-counting.

Try the problem

How many length-66 binary strings contain **no** two consecutive 11s?

Hint and answer

Concept to use

Three sets.

Hint

Fibonacci / recurrence count.

Answer

21

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