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You are a chef and you are tasked to prepare a lunch menu proposal for an upcoming
symposium of different youth organizations to be catered by the restaurant your
restaurant. You need to do the following:
1. Come up with 5 sets of lunch menus with a unique title for each. Consider the
different food preferences (according to the age group, culture, and others). (You
may include descriptions and appetizing pictures.)
2. Out of these menus, how many ways can the event organizer choose 3 out of the
five lunch menus you prepared for their initial selection? (Show your solution)
a. With repetition
b. Without repetition
3. Give at least 3 of these ways.
a. With repetition
b. Without repetition
Your output will be rated according to the following criteria:
Presentation of the Lunch Menus (which may include pictures). Accuracy of the use of
Mathematical Concepts (Combination and/or Probability of Simple Events), and
Feasibility of the Proposed Lunch Menus.

Answer :

MRROYALGO

The lunch menu is an illustration of permutation and combination

  • There are 125 ways to select three lunch menus with repitition
  • There are 10 ways to select three lunch menus without repitition

The lunch menu

To answer this question, the following set of lunch menu would be used:

  • Fish and chips.
  • Ham sandwich.
  • Superfood salad.
  • Cheese sandwich.
  • Jacket potato with filling.

How to select 3 lunch menu with repitition?

Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.

So, the number of selection is:

n = 5³

Evaluate

n = 125

Possible selections are:

  • Fish and chips, Jacket potato with filling and Jacket potato with filling.
  • Ham sandwich, Ham sandwich and Ham sandwich
  • Ham sandwich, Superfood salad and Cheese sandwich

How to select 3 lunch menu with repitition?

Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.

So, the number of selection is:

n = ⁵C₃

Evaluate

n = 10

Possible selections are:

  • Fish and chips, Jacket potato with filling and Ham sandwich
  • Ham sandwich, Superfood salad and Cheese sandwich
  • Fish and chips, Ham sandwich and Superfood salad.

Read more about combination at:

https://brainly.com/question/11732255

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