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1. Patty is making a candle. She has 6 wax colors, 4 candle scents, and 3 candle shapes to choose from. How many ways can Patty make a candle? A. 72 B. 96 C. 27 D. 13

2. A secret code must consist of three capital letters followed by a digit. Letters cannot be repeated. How many secret codes are possible?

A. 140,400

B. 175,760

C. 156,000

D. 358,800

3. Ms. Brody is choosing a flowerpot. There are 5 ceramic pots, 7 wooden pots, and 10 plastic pots.


How many choices for a flowerpot does she have?



A. 350

B. 75

C. 22

D. 45

4. Abel is renting a movie. There are 4 dramas, 3 science fiction movies, and 8 comedies available for rent. How many ways can Abel rent a movie?

A. 15

B. 20

C. 56

D. 96

5. Which situation requires the multiplication counting principle to determine the number of possible outcomes?

A. Choosing a movie when there are 5 comedies, 4 dramas, and 3 documentaries available.

B. Choosing a magazine when there are 4 news magazines, 5 sports magazines, and 3 entertainment magazines.

C. Choosing a juice box when there are 3 apple juice boxes, 4 orange juice boxes, and 5 grape juice boxes.

D. Choosing a sandwich when there are 3 types of bread, 4 types of filling, and 2 sizes.

Respuesta :

itsveedikulus
I should really get Brainliest or at least a 'thanks' after all of this ...

[1] Patty can either go with the scent, the shape and the colour. So; 4 + 6 + 3 = 13.

[2] There are 26 letters and 10 numbers. And the letters cannot be repeated, so; 26 × 25 × 24 × 10 = 156000

[3] The pots; 5 + 10 + 7 = 22

[4] The movies, too? Just add them like this; 3 + 4 + 8 = 15

[5] It should be (D); Choosing a sandwich when there are 3 types of bread, 4 types of filling and 2 sizes. This question is similar to the 2nd one. 

Hope this helped! :)

Answer:

1.

Patty has 6 wax colors, 4 candle scents, and 3 candle shapes to choose from.

So, Patty can make the candles in = [tex]6\times4\times3=72[/tex] ways

2.

There are 26 alphabets from A to Z and 10 numbers from 0 to 9.

The code must consist of three capital letters followed by a digit. As the letters cannot be repeated that means for 1st place, we have 26 letters, for second place, we have 25 letters and third place we have 24 letters.

So, the number of codes that are possible are = [tex]26\times25\times24\times10=156000[/tex]

3.

Ms. Brody is choosing a flowerpot. There are 5 ceramic pots, 7 wooden pots, and 10 plastic pots.

So, total choices are = [tex]5+7+10=22[/tex]

4.

Abel is renting a movie. There are 4 dramas, 3 science fiction movies, and 8 comedies available for rent.

The number of ways are = [tex]4+3+8=15[/tex]

5.

D. Choosing a sandwich when there are 3 types of bread, 4 types of filling, and 2 sizes.

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