Using the combination formula, it is found that she can select the shirts in 775,200 ways.
The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given by:
In this problem:
- 3 shirts from a set of 17.
- Then, 3 shirts from a set of 20.
- They are independent, hence, to find the total, we multiply both combinations.
![T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200](https://tex.z-dn.net/?f=T%20%3D%20C_%7B17%2C3%7D%20%5Ctimes%20C_%7B20%2C3%7D%20%3D%20%5Cfrac%7B17%21%7D%7B3%2114%21%7D%20%5Ctimes%20%5Cfrac%7B20%21%7D%7B3%2117%21%7D%20%3D%20680%20%5Ctimes%201140%20%3D%20775200)
She can select the shirts in 775,200 ways.
To learn more about the combination formula, you can check brainly.com/question/25821700
Answer:B
Step-by-step explanation:
Answer:
38.25 packages
Step-by-step explanation:
Number of guests = 459
Each guest gets 1 muffin
Muffin comes in packages of 12
Hence,
The number of packages is calculated as:
459/12 = 38.25 packages
Hence, 38.25 packages are needed so there are enough muffins for every guest.
C
length= 10 cm
width= 4 cm
height= 2 cm
10*4= 40
40*2= 80