Question

1) A person went to a restaurant for dinner. In the menu card, the person saw 10 Indian
and 7 Chinese food items. In how many ways the person can select
(i) either an Indian or a Chinese food (ii) both Indian and Chinese food?

Answer 1

Answer:

Data

Indian food: 1010

Chinese food: 77

Total food: 1717

How many ways can a person select an Indian or Chinese meal: ??

To solve this mathematical problem we will use the combination formula:

nCr=n!r!(n−r)!nCr=n!r!(n−r)!

where; nCrnCr is the number of combinations, nn is the total number of elements, and rr is the group to be selected.

n=17n=17

r=1r=1

Entering the data we have:

17C1=17!1!(17−1)!17C1=17!1!(17−1)!

Solving we get:

17C1=17×16!1×16!17C1=17×16!1×16!

Eliminating the factorial numbers we obtain:

17C1=1717C1=17

The ways a person can select an Indian or Chinese meal is 1717 times.

Step-by-step explanation:

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