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A string that contains only 0s, 1s, and 2s is called a ternary string. How many ternary strings of length 4 do not contain two

  1. A string that contains only 0s, 1s, and 2s is called a ternary string.
    1. How many ternary strings of length 4 do not contain two consecutive 0s? Solve this counting two ways: one using recursion and one without.
    2. How many ternary strings of length 7 do not contain two consecutive 0s?

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