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. $24$
• B. $480$
• C. $72$
• D. $360$

Answer 1

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 $6\times 10\times 8=480.$