1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
levacccp [35]
3 years ago
6

A catering service offers

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:

There are 52920 ways to do the banquet

Step-by-step explanation:

* Lets revise the combination to solve this problem

- A combination is a collection of the objects where the order

 doesn't matter

- The order is not important in this problem, so we can use the  

  combination nCr to find how many ways can this done

* Lets solve the problem

- A catering service offers 6 appetizers, 7 main courses, 10 desserts.

- A customer is to select 5  appetizers,  4  main courses, 5  desserts

 for a banquet

∵ We want to select  5  appetizers from 6

∴ There are 6C5 ways to chose the appetizers

∵ 6C5 = 6

∴ There are 6 ways to chose the appetizers

∵ We want to select  4  main courses from 7

∴ There are 7C4 ways to chose the main courses

∵ 7C4 = 35

∴ There are 35 ways to chose the main courses

∵ We want to select  5  desserts from 10

∴ There are 10C5 ways to chose the desserts

∵ 10C5 = 252

∴ There are 252 ways to chose the desserts

- To find the number of ways to do the banquet multiply all the

  answers above

∵ The total ways = 6C5 × 7C4 × 10C5

∴ The total ways = 6 × 35 × 252 = 52920

* There are 52920 ways to do the banquet

You might be interested in
tina bought some nail polish and lip gloss at the store. the nail polish cost $4.50 per bottle and lip gloss cost $7 per tube. t
viktelen [127]
5 nail polish and 4 lip gloss

5 x 4.5 =22.5
4 x 7    =28
28+22.5=50.50
5 0
3 years ago
If x=3 y=-5 and z=-2 what is 90xyz ➗xy? PEMDAS PLEASE HELP! :(
garri49 [273]

Step-by-step explanation:

90×3×-5×-2/3×-5

2700/-15

-180

3 0
3 years ago
Mike watches how the pendulum swings in his clock. He notices that it swings 1 time every 2 seconds. How long will it take to sw
frosja888 [35]

Answer: 10 seconds

Step-by-step explanation: The time it takes is exactly double its swing. 5 times 2 = 10

4 0
3 years ago
A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is
Nata [24]

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ 3x+2y=11  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ 5x+6y=23 →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒3(3x+2y)-5x-6y=3(11)-23

⇒9x+6y-5x-6y=10

hence,

⇒4x=10

⇒x=2.5

Putting x=2.5 in  3x+2y=11  we get ;

⇒  3x+2y=11

⇒  3(2.5)+2y=11

⇒  2y=11-7.5=3.5

⇒  y=1.75

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

6 0
3 years ago
What is the mean absolute deviation for the data? 20,25,30,30,45
Ivan
Add them all together the divide what you get by 5
6 0
3 years ago
Other questions:
  • The elevation of the surface of the dead sea is -424.3 meters. In 2005, the height of Mt.Everest was 8,844.43 meters. How much h
    6·1 answer
  • Which expression has the least value when x=100 <br><br> a. 1/x<br> b. 10/x<br> c. 1-x<br> d. 10-x
    10·2 answers
  • I need to learn long division
    7·1 answer
  • Store has a price of $99 on an mp3 player. Store 2 is offering the same mp3 player at a sale price of 25% off their regular pric
    6·1 answer
  • I need help asap please
    11·1 answer
  • Hiii please help i’ll give brainliest if you give a correct answer ty!!
    12·1 answer
  • PLEASE HELP I WILL GIVE 50 POINTS! IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!!!
    10·1 answer
  • The total cost for 25 students to go to the zoo is $56. The total cost for 25 students to go to the science museum is $48.25. Ho
    12·1 answer
  • 6ε−2(7+3ε)&gt;5(2ε−3)−ε<br> solve the inequality
    5·1 answer
  • How many meters are equal to 4 kilometers? Use the pattern in the number of zeros of the product when multiplying by a power of
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!