A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes are there in total?

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Elaine Verrett · Accepted Answer

Step 1&amp;nbsp;Definitions&amp;nbsp;product law The number of ways that two events can occur in succession is m*n if one event can happen in m different ways AND a second event can happen in n different ways.Permutation definition (order matters):P(n,r)=n!(n−r)!&amp;nbsp;Definition combination (order is not important):&amp;nbsp;C(n,r)=(nr)=n!r!(n−r)!&amp;nbsp;with n!=n*(n-1)*...*2*1.&amp;nbsp;Step 2&amp;nbsp;SolutionThere are two probable outcomes for each of the coin&#039;s ten flips.Put the product rule to use:2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2=210=1024

A coin is flipped 10 times where each flip comes

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