Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A restaurant offers a menu with 4 appetizers, 10 main courses, and 6 desserts. In how many ways can a customer choose one appetizer, two main courses, and one dessert?</p

A restaurant offers a menu with 4 appetizers, 10 main courses, and 6 desserts. In how many ways can a customer choose one appetizer, two main courses, and one dessert?

 

Option: 1

1080


Option: 2

2808


Option: 3

5806


Option: 4

4802


Answers (1)

best_answer

To calculate the number of ways a customer can choose one appetizer, two main courses, and one dessert, we multiply the number of options for each category.

Number of ways to choose one appetizer: 4

Number of ways to choose two main courses:

\mathrm{C(10,2)=10 ! /(2 ! \times(10-2) !)=10 ! /(2 ! \times 8 !)=(10 \times 9) /(2 \times 1)=45}

Number of ways to choose one dessert: 6

To calculate the total number of ways, we multiply these three numbers together:

\mathrm{\text { Total number of ways }=4 \times 45 \times 6=1080}

Therefore, there are 1080 ways for a customer to choose one appetizer, two main courses, and one dessert from the given menu.

 

Posted by

Ajit Kumar Dubey

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech Admission 2025 Live: JEE Mains, SRMJEEE, MET registrations underway; MHT CET syllabus updates
anam-khan

Centre issues coaching guidelines, prohibits centres from using false claims like '100% selection'
anam-khan

BTech Admissions 2025 Live: JEE Mains, SRMJEE, VITEEE dates out; AEEE, MET registrations underway

Latest Question