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Eric is ordering a pizza. He wants three different toppings on his piz

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Eric is ordering a pizza. He wants three different toppings on his piz [#permalink] New post   04 May 2017, 12:16
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Eric is ordering a pizza. He wants three different toppings on his pizza, and the available toppings are pepperoni, sausage, black olives, green peppers, and mushrooms. How many different combinations of toppings are available?

A. 5
B. 10
C. 15
D. 30
E. 60
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Re: Eric is ordering a pizza. He wants three different toppings on his piz [#permalink] New post   12 May 2017, 13:12
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SajjadAhmad wrote:
Eric is ordering a pizza. He wants three different toppings on his pizza, and the available toppings are pepperoni, sausage, black olives, green peppers, and mushrooms. How many different combinations of toppings are available?

A. 5
B. 10
C. 15
D. 30
E. 60


Since Eric wants 3 toppings and he can choose from 5, there are 5C3 = 5!/[3!(5-3)!] = (5 x 4 x 3)/3! = (5 x 4 x 3)/(3 x 2) = 10 different combinations of toppings available.

Answer: B
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Re: Eric is ordering a pizza. He wants three different toppings on his piz [#permalink] New post   05 May 2017, 06:50
Eric needs to select 3 from 5 available
5c3=10
Option B
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Eric is ordering a pizza. He wants three different toppings on his piz [#permalink] New post   05 May 2017, 07:37
SajjadAhmad wrote:
Eric is ordering a pizza. He wants three different toppings on his pizza, and the available toppings are pepperoni, sausage, black olives, green peppers, and mushrooms. How many different combinations of toppings are available?

A. 5
B. 10
C. 15
D. 30
E. 60


IMO, B is the answer.
There are 5 options for toppings. Eric needs to choose combination of 3 toppings among the 5 available.
So, different combinations of toppings are - \(5C_3\) = 10

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Re: Eric is ordering a pizza. He wants three different toppings on his piz [#permalink] New post   05 May 2017, 09:49
SajjadAhmad wrote:
Eric is ordering a pizza. He wants three different toppings on his pizza, and the available toppings are pepperoni, sausage, black olives, green peppers, and mushrooms. How many different combinations of toppings are available?

A. 5
B. 10
C. 15
D. 30
E. 60


There are 5 toppings available -

1. Pepperoni
2. Sausage
3. Black olives
4. Green Peppers
5. Mushrooms

So, the number of different combinations of toppings possible is \(5C_3 = 10\)

Hence, answer must be (B) 10
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Re: Eric is ordering a pizza. He wants three different toppings on his piz [#permalink]
05 May 2017, 09:49
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