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Sagot :
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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