Question

Ping is deciding what to choose for dinner from the menu. He can choose 1 of 3 pasta meals, 1 of 7 chicken meals, or 1 of 3 fish meals.

How many ways can ping choose a dinner meal?
13
30
3
63

Answer 1

The correct option is 4.

Explanation:

The possible ways of selecting r items from n items is defined as

`^nC_r=(n!)/(r!(n-r)!)`

Ping can choose 1 of 3 pasta meals, 1 of 7 chicken meals, or 1 of 3 fish meals. The number of ways ping can choose a dinner meal is

`^3C_1* ^7C_1* ^3C_1=3* 7* 3=63`

Therefore the number of ways ping can choose a dinner meal is 63.

Thus correct option is 4.

Answer 2

Given:
1 of 3 pasta meals
1 of 7 chicken meals
1 of 3 fish meals

Simply multiply the total number of choices:

3 x 7 x 3 = 63

Ping can choose a dinner meal in 63 ways.