among the 96 members of a college athlete group, 45 members play basketball, 42 plays volleyball, 49 plays bad?
among the 96 members of a college athlete group, 45 members play basketball, 42 plays volleyball, 49 plays badminton, 15 plays both basketball and volleyball, 16 play both volleyball and badminton and 14 play all the 3 plays. how many plays basketball only? how many plays volleyball only? how many plays badminton? using venn diagram.
You need to draw the venn diagram out yourself using the information that is given. The most important information to start with is the details that can instantly fill in parts of the venn diagram.
14- All three
Filling that in, you now have 1 of the 7 spots in the venn diagram filled in.
Lets look at volleyball
If 15 people play both basketball and volleyball AND 14 of those people play all three THEN 1 person only plays basketball and volleyball
Doing the same for volleyball and badminton, 16-14 = 2 people play only badminton and volleyball
1 - basketball and volleyball ONLY
2 - badminton and volleyball ONLY
Now you know that 42 total people play volleyball. 14 + 2 + 1 = 17 people are already accounted for by playing other sports as well.
42 - 17 = 25 people play ONLY volleyball.
Now you have 4 out of seven spots filled in your venn diagram.
Go from there, If you get stuck then add details on a specific misunderstanding rather than a blatant homework question.
The next step starts the addition and subtraction parts.
You are given that 42 total people play volleyball
Subtracting the 15 for Bask. and Volley. and 16 for Badmint and Volleyball and 14 for All Three
42 - 15 - 16 = 42 - 31 = 11 people play ONLY volleyball
Now you have 4 out of seven filled in.
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