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
2 answers:
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.
Answer:
The correct option is 4.
Step-by-step explanation:
The possible ways of selecting r items from n items is defined as
![^nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
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\times ^7C_1\times ^3C_1=3\times 7\times 3=63](https://tex.z-dn.net/?f=%5E3C_1%5Ctimes%20%5E7C_1%5Ctimes%20%5E3C_1%3D3%5Ctimes%207%5Ctimes%203%3D63)
Therefore the number of ways ping can choose a dinner meal is 63.
Thus correct option is 4.
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