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4. based on the venn diagram below, how many people are in group b or g…

Question

  1. based on the venn diagram below, how many people are in group b or group c?

Explanation:

Step1: Recall the formula for $|B\cup C|$

$|B\cup C|=|B|+|C|-|B\cap C|$.

Step2: Calculate $|B|$

$|B| = 23 + 17+3 + 16=59$.

Step3: Calculate $|C|$

$|C|=25 + 17+3 + 7 = 52$.

Step4: Calculate $|B\cap C|$

$|B\cap C|=17 + 3=20$.

Step5: Calculate $|B\cup C|$

$|B\cup C|=59 + 52-20=91$.

Answer:

91