Question

1. based on the venn diagram below, how many people are in group b or group c? group c 25 17 7 3 group a 44 16 group b 23

Explanation:

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

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

Step2: Calculate the number of elements in Group B

$|B| = 23 + 16+3=42$

Step3: Calculate the number of elements in Group C

$|C|=25 + 17+7 = 49$

Step4: Calculate the number of elements in $B\cap C$

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

Step5: Calculate $|B\cup C|$

$|B\cup C|=42 + 49-20=71$

Answer:

71