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
aksik [14]
3 years ago
12

A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3

desserts for a banquet. In how many ways can this be done
Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

You might be interested in
What percent of 15y is 75?
Firlakuza [10]

Answer:

20%

Step-by-step explanation:

because 15/75×100 =1/5×100=20%

3 0
3 years ago
Read 2 more answers
The polynomial P(x)=3x^3-5x^2-4x+4 has a factor of (x-2) rewrite P(x) as a product of linear factors
Ivenika [448]

Answer: P(x)=(x+1)(3x−2)(x−2)

4 0
2 years ago
carol and jada sold raffle tickets to raise money for a new playground carol sold 2045 tickets jada sold 356 more than carol how
GenaCL600 [577]
Jada sold 2401 tickets
4 0
2 years ago
Based on your pattern, what would y be when x = 13?<br>answer asap!!​
icang [17]

Answer:

14,17,20

Step-by-step explanation:

Holy crp I'm sooo sorry. I started studying for my classes and didn't see this.

The y's increase +3 for every positive 1.

4 0
2 years ago
Read 2 more answers
Mai had 5 candy bars. She ate half of one candy bar and decided to distribute the remaining bars between her two sisters and her
brilliants [131]
1 and 2/3 is the answer
7 0
3 years ago
Read 2 more answers
Other questions:
  • 9x+2+5=15x-8<br> explain how to solve it
    14·1 answer
  • How to factor out the greatest common factor in a polynomial?
    13·1 answer
  • A stadium has a lot of seats! Each section has 620 seats and there are 25 sections. Write an equation that could be used to find
    7·1 answer
  • Please Help!!! "What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at a
    8·2 answers
  • If 11 twelfth graders were surveyed to see who owned a tablet and 6 of them owned one what is the percentage of twelfth graders
    12·1 answer
  • The ordered pair (x + 4, y +2) indicates a translation which moves the pre-image _____.
    15·1 answer
  • The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per se
    15·2 answers
  • Need help asap :):):)
    14·2 answers
  • Whichi is in the simplest form. 25/30 9/21 3/17 4/16​
    5·2 answers
  • Find the midpoint of the segment with the following endpoints.<br> (2, -4) and (6. – 10)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!