# How many ways can a person choose his meal?There are 4 dishes for starters, 8 for main course and 3 for dessert. If a person at the restaurant takes 1 dish from the starters, 2 from the main course...

How many ways can a person choose his meal?

There are 4 dishes for starters, 8 for main course and 3 for dessert. If a person at the restaurant takes 1 dish from the starters, 2 from the main course and 1 dessert, how many combinations does he have?

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### 3 Answers

Now there are 4 dishes for starters, 8 for the main course and 3 for dessert available to choose from.

We know that the person is taking one dish from the starters, 2 from the main course and 1 from the dessert.

For the starters there are 4 options.

For the main course, there are 8 options for the first dish and 7 for the other.

For the dessert there are 3 options.

Therefore the total number of options is 4*8*7*3 = 672.

**Therefore the person can choose the dishes for the meal in 672 ways.**

The number of ways one dish out of 4 dishes could be chosen = 4.

The number of ways 2 courses from 8 types of courses the man can choose = 8C2 = 8*7/2*1 = 28ways.

The number of ways one doessert from 3 deserts he can chose = 3C1 = 3.

Therefore , all the three types of choice being independent, the total ways the person can choose the meal =4*28*3 = 336.

it would = 24 combinations