Mel J.
asked • 05/07/21Combinations Question
A survey of 11th Grade students was conducted to determine how many are taking math. D = Data, C = Calculus A =Functions
The Venn diagram shows the results:
c) How many are taking both Data and Functions?
d) How many are taking all 3?
f) How many are not taking Calculus?
Please provide how you got/found the answer for each please.
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1 Expert Answer
David W. answered • 05/07/21
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A survey of 11th Grade students was conducted to determine how many are taking math. D = Data, C = Calculus A =Functions
The Venn diagram shows the results:
c) How many are taking both Data and Functions?
D and A intersect: 12 + 1 = 13
d) How many are taking all 3?
Intersection of D, C, and a: 12
f) How many are not taking Calculus?
Note: The 2 in the corner means not taking any of the three.
2 + 4 + 1 + 2 = 9
Please provide how you got/found the answer for each please.
Mel J.
Thank you for the solution/help, but if 12 is for students taking all 3, how is c) 13 (12 + 1), if it says just both data and functions? Also for f) it's supposed to be 9 but I didn't understand why.
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05/07/21
David W.
Learn to find INTERSECTIONS (in both or all). Try light colors -- one for D and one for A. When both colors, that is 13. Add another color; for all three, that is 12. Now, there are 4+1+2 outside of C and 2 more in the Universe (lower left corner) that are not in any of D.C. or A. Add them to get 2+4+1+2 = 9.
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05/07/21
David W.
Note: Most problems like this start with the intersection all all circles, then the intersection of two or more circles, then totals for each circle, and lastly, the Universe total.
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05/07/21
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