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Depending on the night, a pizza restaurant offers anywhere from seven

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Depending on the night, a pizza restaurant offers anywhere from seven  [#permalink]

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New post 28 May 2019, 00:16
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  35% (medium)

Question Stats:

74% (01:45) correct 26% (01:45) wrong based on 72 sessions

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Depending on the night, a pizza restaurant offers anywhere from seven to nine different choices of toppings. Sam wants a pizza with three toppings. Which of the following could be the number of different ways that Sam can order his pizza with three different toppings?

I. 42
II. 56
III. 84

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III

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Re: Depending on the night, a pizza restaurant offers anywhere from seven  [#permalink]

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New post 28 May 2019, 00:18
Bunuel wrote:
Depending on the night, a pizza restaurant offers anywhere from seven to nine different choices of toppings. Sam wants a pizza with three toppings. Which of the following could be the number of different ways that Sam can order his pizza with three different toppings?

I. 42
II. 56
III. 84

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III


total options Sam has ; 7c3; 35
8c3; 56 and 9c3; 84
IMO D
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Re: Depending on the night, a pizza restaurant offers anywhere from seven  [#permalink]

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New post 17 Apr 2020, 04:53
Bunuel wrote:
Depending on the night, a pizza restaurant offers anywhere from seven to nine different choices of toppings. Sam wants a pizza with three toppings. Which of the following could be the number of different ways that Sam can order his pizza with three different toppings?

I. 42
II. 56
III. 84

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III


Solution:


If on that particular day restaurant offer seven choices
    • The, the number of ways in which 3 toppings can be selected = \(7C_3 = 35\)
If on that particular day restaurant offer eight choices
    • The, the number of ways in which 3 toppings can be selected = \(8C_3 = 56\)
If on that particular day restaurant offer nine choices
    • The, the number of ways in which 3 toppings can be selected = \(9C_3 = 84\)
Possible number of topping are 35, 56, and 84
Hence, the correct answer is Option D.
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Re: Depending on the night, a pizza restaurant offers anywhere from seven   [#permalink] 17 Apr 2020, 04:53

Depending on the night, a pizza restaurant offers anywhere from seven

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