Simplify the expression $$\binom{n}{0} - \binom{n}{1} + \binom{n}{2} - \binom{n}{3} + \cdots + (-1)^n \binom{n}{n}$$ for positive $n$.
I tried to find a one-to-one correspondence but I'm stuck.
Can anyone help?
2026-03-26 22:14:02.1774563242
Simplifying $\binom{n}{0} - \binom{n}{1} + \binom{n}{2} - \binom{n}{3} + \cdots + (-1)^n \binom{n}{n}$
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