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Question

A family went to a restaurant for dinner. In the menu card, they saw 6 Italian, 10 Indian and 8 Chinese cuisine. What are the number of ways in which they can select each of an Italian, an Indian and a Chinese cuisine?

A
24
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B
480
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C
72
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D
360
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Solution

The correct option is B 480
Given,
Number of Italian cuisine =6
Number of Indian cuisine =10
Number of chinese cuisine =8

And, number of ways of choosing Italian, Indian and Chinese cuisine is 6,10, and 8 respectively.

So, using the fundamental counting principle total number of ways of choosing one cuisine of each type is 6×10×8=480.

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