(a) The equality [ sum_{r=0}^{n}binom{n}{r}=2^{n} ] is given just after Proposition 16.3. Use this to give an...

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(a) The equality

\[ \sum_{r=0}^{n}\binom{n}{r}=2^{n} \]

is given just after Proposition 16.3. Use this to give an alternative proof of Proposition 17.4.

(b) Give yet another proof of Proposition 17.4 by induction on $n$.

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A Concise Introduction To Pure Mathematics

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Authors: Martin Liebeck

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(a) The equality [ sum_{r=0}^{n}binom{n}{r}=2^{n} ] is given just after Proposition 16.3. Use this to give an...

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A Concise Introduction To Pure Mathematics

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