![]() N(A and B) includes people who are in both A and B and it also includes people who are in A, B and C. There is a reason we jumped to n(Exactly two sets) instead of following the more logical next step of figuring out n(At least two sets) – it will be more intuitive to get n(At least two sets) after we find n(Exactly two sets). Now let’s see how we can calculate the number of people in exactly two sets. So we get:ģ) Total = n(No Set) + n(At least one set)įrom (3), we get n(At least one set) = Total – n(No Set)Ĥ) n(At least one set) = n(A) + n(B) + n(C) – n(A and B) – n(B and C) – n(C and A) + n(A and B and C) N(Exactly one set) + n(Exactly two sets) + n(Exactly three sets) gives us n(At least one set). There are two basic formulas that we already know:ġ) Total = n(No Set) + n(Exactly one set) + n(Exactly two sets) + n(Exactly three sets)Ģ) Total = n(A) + n(B) + n(C) – n(A and B) – n(B and C) – n(C and A) + n(A and B and C) + n(No Set)įrom these two formulas, we can derive all others.
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