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Marios Pizza has 2 choices of crust: deep dish crust or thin crust. T
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28 Feb 2023, 10:50
28 Feb 2023, 10:50
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Question Stats:
40% (01:02) correct
60% (02:09) wrong based on 5 sessions
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Mario’s Pizza has 2 choices of crust: deep dish crust or thin crust. The restaurant also has a choice of 5 toppings: tomatoes, sausage, peppers, onions, and pepperoni. The order of the toppings on top of the pizza doesn't matter. Finally, Mario’s offers every pizza in extra cheese as well as regular. If Linda’s volleyball team decides to order a pizza with 4 unique toppings, how many different choices do the teammates have at Mario’s Pizza?
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20
Re: Marios Pizza has 2 choices of crust: deep dish crust or thin crust. T
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18 Mar 2023, 14:53
18 Mar 2023, 14:53
1
Lets start from scratch
deep dish crust or thin crust -- 2 combinations . it si 2c1
Toppings - tomatoes, sausage, peppers, onions, and pepperoni - 5nos -> we need 4 unique so it is 5P4
extra cheese as well as regular.- 2 nos .It is 2c1
Total number of possibilities -> 2C1 * 5P4 * 2C1 as these are depended events , we multiply
so P : permutation and C : combination
If you put the formuales -> 2 * 5!/(5-4)!*4! * 2 = 20 ways .
So the team has 20 ways to choose from !
deep dish crust or thin crust -- 2 combinations . it si 2c1
Toppings - tomatoes, sausage, peppers, onions, and pepperoni - 5nos -> we need 4 unique so it is 5P4
extra cheese as well as regular.- 2 nos .It is 2c1
Total number of possibilities -> 2C1 * 5P4 * 2C1 as these are depended events , we multiply
so P : permutation and C : combination
If you put the formuales -> 2 * 5!/(5-4)!*4! * 2 = 20 ways .
So the team has 20 ways to choose from !
gmatclubot
Re: Marios Pizza has 2 choices of crust: deep dish crust or thin crust. T [#permalink]
18 Mar 2023, 14:53
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