How many possible outcomes are in the sample space of this


A coin is flipped. If a heads is flipped, then the coin is flipped 4 more times and the number of heads flipped is noted; otherwise (i.e., a tails is flipped on the initial flip), then the coin is flipped 2 more times and the result of each flip (i.e., heads or tails) is noted successively. How many possible outcomes are in the sample space of this experiment?

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Mathematics: How many possible outcomes are in the sample space of this
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