Question

A parent can choose from 6 types of protein, 5 vegetables and 7 desserts. If the parent serves a meal of 1 protein, 1 vegetable and 1 dessert to the family, how many different meals can be served?

Answer 1

6*5*7

Answer 2

1 protein out of 6 can be chosen in : \(^6C_1\)

1 vegetable our of 5 can be chosen in: \(^5C_1\)

1 dessert out of 7 can be chosen in : \(^7C_1\)

So:

\[^6C_1 \times ^5C_1 \times ^7C_1 \implies 6 \times 5 \times 7 = ??\]