is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 7 comedies, 4 mysteries, and 5 horror films. How many different combinations of 9 movies can he rent if he wants all 7 comedies?


Answer 1

Answer: 91

Step-by-step explanation:

Given : The number of documentaries = 5

The number of comedies = 7

The number of mysteries = 4

The number of horror films =5

The total number of movies other than comedy = 14

Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .

Related Questions


Regina is in charge of purchasing notepads to give away at an upcoming trade show. She knows that 65 boxes of notepads will contain a total of 1,625 pads. How many notepads will she receive if she purchases 48 boxes? 1,608







Option B. 1,200.

Step-by-step explanation:

Regina is in charge of purchasing notepads to  give away at an upcoming trade show.

she knows that 65 boxes of notepads will contain a total of 1,625 pads.

We calculate this by unitary method. first we calculate the amount of pads in one box.

∵  65 boxes contains = 1,625 pads

∴  in one box = 1,625 ÷ 65 = 25 pads

She purchases 48 boxes, so she will receive = 25 × 48 = 1,200 pads

She would receive 1200 pads if she purchases 48 boxes.

The answer is 1,200.

Hope this helps!


Describe and correct the error(s) made in each of the problems below. 1−x / (5−x)(−x)=x−1 / x(x−5)




Step-by-step explanation:

Errors in Algebraic Operations

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

Let's arrange into format:

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

Now for the second expression

Let's arrange into format

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been


66/20 change improper fraction to mixed or simplest form


20 goes into 60 3 times then there is 6 left out of 20. 

Ok the answer is 3 6/20, then simplify that to 3 3/10

A recipe uses 2 teaspoons of cinnamon for every 4 cups of flour. how many teaspoons of cinnamon will be needed for 10 cups of flour?


2 tsp for 4 cups flour
1 tsp for 2 cups
For 10 cups it would be 5tsp
5 cups, 2/4=x/10 which would be converted to 20/40=20/40 then you would divide by four on one side and 10 by the other, getting 5 cups as your answer

What is the formula for the perimeter of a rectangle?



hope this helps..........

A= L x W / 2 length times width divided by 2

A hiker was walking on a mountainous trail. The hiker began at an elevation of 450 feet above sea level, and then ascended 120 feet toward the top of the mountain. What was the hikers new position ?



570 feet above seal level

Step-by-step explanation:

The hiker was at 450 ft above sea level. He ascended 120 feet toward the top of the mountain (or goes up). 450+120 = 570. Therefore his new position is 570 feet above sea level!


A baker has 34 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. The baker uses the fraction model that is partially shown to find the number of cupcakes that will have sprinkles.


Which is the correct division equation that describes the model?
A. 18 ÷
B. 34÷18=8
C. 34÷18=6
D. 18÷34=332


This problem should say 3/4 cup and 1/8 cup. When these are the values, it becomes a division problem with an answer of 6. Whenever you are given a total amount you need to break it into equal groups, this is a division problem.

3/4 divided by 1/8 is actually 6/8 broken into groups of 1/8. That is why your answer is 6.

True or false questions basic math 1.the total surface area of a cube each of whose edges is 12 inches long is 6 square feet

2.if the tank in a car holds 15 gallons of gasoline, the volume of the tank is one cubic foot

3.two cones have equal height. if the base of one cone is a circle and the base of the other cone is a square, the two cones cannot have equal volumes

4.the diameter of the moon is approximately one-fourth the diameter of earth, hence the volume of the moon is one-fourth the volume of earth.

each of these questions are true or false.. could use the help tonight please



1. True

2. False

3. False

4. False

Step-by-step explanation:

1. It is true because 12 inch is equal to 1 feet, so the area of each side of the cube is 1 square feet, adding the 6 sides of the cube you have a surface area of 6 square feet.

2. It is false because 7.5 gallons is equal to 1 cubic foot.

3. It is true because both cones have equal height but the fact that the bases are different make the volume different.

4. Is false because when you calculate the volume of a sphere you have to raise the radius (half the diameter) to the cube, so there is not a direct relation.

1. False
2. False
3. True
4. False

and #3 if you think about it is kind of a trick question. If the base of the "cone" is a square than its not a cone to begin with. It would be a square pyramid.

B) what percentage of men are shorter than 6 feet 3 inches? round to nearest tenth of a percent.


The correct answer is 94.3%
Random Questions