Counting & ProbabilitySuperchallengeIdentities and Techniques, Proved ShareIdentities and Techniques, Proved · Superchallenge problemHow many chains A⊆B⊆C⊆{1,2,…,8}A\subseteq B\subseteq C\subseteq\{1,2,\ldots,8\}A⊆B⊆C⊆{1,2,…,8} of sets satisfy both ∣A∣+∣B∣+∣C∣=12|A|+|B|+|C|=12∣A∣+∣B∣+∣C∣=12 and ∣C∣−∣A∣=4|C|-|A|=4∣C∣−∣A∣=4?Check Show answer Walk through it step by step Practice more like this Review this concept