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Re: Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to ha [#permalink]
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Bunuel wrote:
Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to have lunch at a pizzeria. Five types of individual pizza are available: Hawaiian, Supreme, Veggie, Pepperoni, and Margherita. If Ross refuses to eat Hawaiian, Phoebe will only eat Margherita, and no two friends will eat the same type of pizza, in how many ways can they order lunch?

A. 18
B. 24
C. 48
D. 96
E. 120


We can start with Ross. Since Ross will not eat Hawaiian and he can’t choose Margherita (since Phoebe must eat Margherita), the number of ways he can select his pizza is 3. Since Phoebe will only eat Margarita, she can select her pizza in 1 way.

Finally, since no two friends will eat the same type of pizza, the remaining three friends can select their pizza in 3! = 6 ways.

Thus, the group can select pizza in 3 x 1 x 6 = 18 ways.

Answer: A
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Re: Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to ha [#permalink]
Bunuel wrote:
Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to have lunch at a pizzeria. Five types of individual pizza are available: Hawaiian, Supreme, Veggie, Pepperoni, and Margherita. If Ross refuses to eat Hawaiian, Phoebe will only eat Margherita, and no two friends will eat the same type of pizza, in how many ways can they order lunch?

A. 18
B. 24
C. 48
D. 96
E. 120


Phoebe = 1 way
Ross = (remaining - Hawaiian) = (4-1)= 3 ways
Chandler = ( 5-2) = 3 ways
Joey = 2 ways
Monica = 1 way
1*3*3*2*1 = 18
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Re: Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to ha [#permalink]
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Businessconquerer wrote:
I thought phoebe was vegetarian


Great point - I love it!

Cheers,
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Re: Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to ha [#permalink]
Bunuel wrote:
Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to have lunch at a pizzeria. Five types of individual pizza are available: Hawaiian, Supreme, Veggie, Pepperoni, and Margherita. If Ross refuses to eat Hawaiian, Phoebe will only eat Margherita, and no two friends will eat the same type of pizza, in how many ways can they order lunch?

A. 18
B. 24
C. 48
D. 96
E. 120


Number of choices available for Phone = 1 (Margherita)
Number of choices available for Ross = 3 (Supreme, Veggie or Pepperoni)
Number of choices available for Chandler = 3
Number of choices available for Joey = 2
Number of choices available for Monica = 1

Number of ways of ordering lunch = 1*3*3*2*1 = 18

IMO A
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Re: Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to ha [#permalink]
Bunuel wrote:
Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to have lunch at a pizzeria. Five types of individual pizza are available: Hawaiian, Supreme, Veggie, Pepperoni, and Margherita. If Ross refuses to eat Hawaiian, Phoebe will only eat Margherita, and no two friends will eat the same type of pizza, in how many ways can they order lunch?

A. 18
B. 24
C. 48
D. 96
E. 120


Phoebe = 1
Ross= 3 ways
Chandler = 3 ways
Joey = 2 ways
Monica= 1 way
total 3*3*2*1*1 = 18
IMO A
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Re: Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to ha [#permalink]
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Re: Five friends - Ross, Phoebe, Chandler, Joey, and Monica - decide to ha [#permalink]
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