Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A pizza place offers 5 different toppings, but a customer can choose a maximum of 3 toppings for their pizza. How many different pizza combinations are possible?  <div class='q

A pizza place offers 5 different toppings, but a customer can choose a maximum of 3 toppings for their pizza. How many different pizza combinations are possible?
 

Option: 1

40


Option: 2

14


Option: 3

28


Option: 4

26


Answers (1)

best_answer

To calculate the number of different pizza combinations, we need to consider the options for the number of toppings the customer can choose: 0,1,2, or 3 toppings.

Case 1: 0 toppings:
In this case, there is only one option, which is to have no toppings.

Case 2: 1 topping:
There are 5 options to choose from for the single topping.

Case 3: 2 toppings:
To calculate the number of combinations for 2 toppings, we can use the combination formula:  \mathrm{C(5,2)=5 ! /(2 ! \times(5-2) !)=10}.

Case 4: 3 toppings:
Similarly, using the combination formula: \mathrm{C(5,3)=5 ! /(3 ! \times(5-3) !)=10.}

To find the total number of different pizza combinations, we sum the possibilities from all the cases: \mathrm{1 (0 ~toppings )+5 ( 1 ~topping )+10 ( 2 ~toppings )+10 ( 3 ~toppings )=26}

Therefore, there are 26 different pizza combinations possible.

Posted by

jitender.kumar

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

JEE 2026: IIT admissions show major shift toward AI, data science, away from core engineering courses
anam-khan

JEE Main 2026: NIT Delhi cut-offs for BTech courses show ever-increasing demands for AI, computer skills
anam-khan

597 Eklavya school students clear JEE, NEET exams in 2024-25; Gujarat, MP lead

Latest Question