A coin with heads facing up is shown as and a coin with tails facing up is…

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A coin with heads facing up is shown as

and a coin with tails facing up is shown as

.

Six coins are placed in the Starting Arrangement, as shown in the figure below. A “step” is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.

1. A.

   3

2. B.

   6

3. C.

   9

4. D.

   12

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