# Permutation And Combination Quiz

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### Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?

• A.

18

• B.

19

• C.

20

• D.

21

• E.

22

E. 22
Explanation
In order to find the number of profitable films, we need to calculate the number of comedies and horror films separately. We know that 60% of the films were comedies, so 40% must be horror films. Since the studio made a total of 40 films, 40% of 40 is 16, which means there were 16 horror films.

Next, we can calculate the number of profitable comedies and horror films. 75% of the comedies were profitable, so 75% of 60% of 40 is 18. Similarly, 75% of the horror films were unprofitable, so 75% of 40% of 40 is 12.

To find the number of profitable films, we subtract the number of unprofitable films from the total number of films. 40 - 12 = 28. Therefore, 28 films were profitable.

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• 5.

### If none of the students are ambidextrous, what percentage of the 20 students in Mr. Henderson's class are left-handed? (1) Of the 12 girls in the class, 25% are left-handed.(2) 5 of the boys in the class are right-handed.

• A.

Statement 1 is sufficient

• B.

Statement 2 is sufficient

• C.

1 & 2 together

• D.

Each alone

• E.

None

C. 1 & 2 together
Explanation
Statement 1 tells us that 25% of the 12 girls in the class are left-handed. Since there are no ambidextrous students, this means that 3 girls in the class are left-handed.

Statement 2 tells us that 5 of the boys in the class are right-handed. Since there are no ambidextrous students, this means that all the boys in the class are right-handed.

Combining both statements, we know that there are 3 left-handed girls and all the boys are right-handed. Therefore, the percentage of left-handed students in Mr. Henderson's class is (3/20) x 100 = 15%.

Therefore, the answer is 1 & 2 together.

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• Mar 21, 2023
Quiz Edited by
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• Sep 11, 2014
Quiz Created by
Cyrus_shah

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