a coin is tossed five times in how many ways can one get exactly no heads? five heads?

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a coin is tossed five times in how many ways can one get exactly no heads? five heads?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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One can get no heads in exactly one way. We can see this as (5C0)=1 One can get 5 heads in exactly one way. We can see this as (5C5)=1
in how many ways can one get exactly one head? four heads?
Well, lets enumerate them: For one head: HTTTT, THTTT, TTHTT, TTTHT, TTTTH i.e. 5 ways This is equal to (5C1), that is the binomial coefficient or "choose" function. Now you try with 4 heads.

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5c2

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