Posted by **ianian** on Tuesday, April 30, 2013 at 5:56am.

A video rental store offers 436 different movies for rent. The movies are categorized as Comedies, Action Movies, and Dramas. A movie may be in more than one of the categories. If 234 movies are categorized as Comedies, 97 as Action Movies, and 191 as Dramas, what's the most number of movies that could be categorized as all three?

- HELP!!!MATHS!!! -
**Reiny**, Tuesday, April 30, 2013 at 8:21am
N(A or C or D) = N(A) + N(C) + N(D) - N(A and C) - N(A and D) - N(C and D) + N(A and C and D)

436 = 97 + 234 + 191 - N(A and C) - N(A and D) - N(C and D) + N(A and C and D)

I feel we need more information here

- HELP!!!MATHS!!! -
**ianian**, Tuesday, April 30, 2013 at 10:25pm
:'(

- HELP!!!MATHS!!! -
**Alpha**, Wednesday, May 1, 2013 at 5:51pm
First find the surplus, i.e. (234+97+191)-436=86.

Now if you want to maximise the 'all three' section, you have to distribute these surplus 86 into this section.But if you add 1 to this region,you are taking care of surplus of 2. Similarly if 10 is added, surplus of 20 gets taken care of. Now for distributing 86 surplus, we have to add 43 to this region, hence the answer.

soln:-43

Similarly, the question can be asked to find out minimum number in the 'all three' region. In that case 86 surplus must be distributed in the region of intersection of 2 circles. Now adding 1 in this region takes care of surplus 1, so adding 86 will take care of 86 surplus. So in this case 0 would be the answer for minimum number for 'all 3' section.

## Answer This Question

## Related Questions

- maths - A video rental store offers 436 different movies for rent. The movies ...
- geometry - David wants to rent a movie. He wants to watch either a comedy or a ...
- College Math - Movies A survey of 350 customers was taken at Regal Cinemas in ...
- Algebra - You go to the video store to rent 5 movies for the weekend. Movies ...
- Economics - Multiple Choice: If the price of movies on video rises while the ...
- math - i don't know get this question 1. last saturday emily rented 4 movies ...
- Math - Movies A survey of 350 customers was taken at Regal Cinemas in Austin, ...
- math - Jesse rents 2 movies and 4 video games for a total of $18.70. At the same...
- psy - Cathy owes six overdue movies to her local video store. Since each of ...
- English - What kind of movie do you like? Why? 1. I like comedy movies because I...

More Related Questions