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Easy

Combinatorics

Let $X_0, X_1, \dots, X_{10}$ be integers with $X_0 = 0$ and $X_{10} = 4$ , such that $|X_{i+1} - X_i| = 1$ for every $i = 0, \dots, 9$ .

How many different sequences $(X_0, \dots, X_{10})$ are there?

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