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An Italian restaurant boasts 320 distinct pasta dishes. Each
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sandy
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Joined: 07 Jun 2014
Posts: 4804
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
An Italian restaurant boasts 320 distinct pasta dishes. Each [#permalink] New post  05 Aug 2018, 14:24
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94% (00:28) correct 5% (00:34) wrong based on 18 sessions

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An Italian restaurant boasts 320 distinct pasta dishes. Each dish contains exactly 1 pasta, 1 meat, and 1 sauce. If there are 8 pastas and 4 meats available, how many sauces are there to choose from?

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10

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sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4804
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: An Italian restaurant boasts 320 distinct pasta dishes. Each [#permalink] New post  07 Aug 2018, 06:06
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Explanation

This problem tests the fundamental counting principle, which states that the total number of choices is equal to the product of the independent choices. Let the number of sauces be represented by the variable S.

The total number of possible pasta dishes can be represented by each separate choice multiplied together: (8)(4)(S), or 32S. The problem also indicates that the total number of pasta
dishes must be equal to 320. Therefore, 32S = 320, so S = 10.
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