Posted by **Susan** on Saturday, May 14, 2011 at 6:30pm.

Movies A survey of 350 customers was taken at Regal Cinemas in Austin, Texas, regarding the type of movies customers liked. The following information was determined.

• 196 liked dramas.

• 153 liked comedies.

• 88 liked science fiction.

• 59 liked dramas and comedies.

• 37 liked dramas and science fiction.

• 32 liked comedies and science fiction.

• 21 liked all three types of movies

Of the customers surveyed, how many liked

• a) none of these types of movies?

• b) only dramas?

• c) exactly one of these types of movies?

I do not know how to determne how to get the answers the A, B and C nor how to input it into a Venn Diagram

- College Math -
**Damon**, Saturday, May 14, 2011 at 6:53pm
Draw 3 overlapping circles, D, C and SF.

Way in the middle where all three overlap, put 21

Where only D and C overlap, put 59

Where D has no overlap with others pu 196

etc

now you have to work from the inside out

to figure out how many like each 2 or each 1 exclusively

For example those liking only D and C

are

59-21 = 38

D and SF = 37-21 =16

C and SF = 32-21 = 11

then

those liking D alone = 196 - 38-21-16 =

121

those liking C alone = 153-38-21-11 =

83

those liking SF alone = 88-16-11-21 =

40

NOW do the problem

a

none = 350 - 121-38-21-16-83-11-40 = 20

b

121

c

121+83+40 = 244

Check my arithmetic!!!

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