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for questions involving inequalities, upper and lower bounds.

4 votes
1 answer
421 views

Inequality of inclusion-exclusion term

.} $$ Using Bonferroni's inequalities, we have $$ \sum_{a = 1}^{i} (-1)^{a+1} \binom{k}{a} \binom{k - a}{k - i} \binom{k - a}{k - j} \leq \sum_{a = 1}^{1} (-1)^{a+1} \binom{k}{a} \binom{k - a}{k - i} \ …
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