In a restaurant there are
9 starter dishes
15 main dishes
8 dessert dishes
Janet is going to choose one of the following combinations for her meal - Edexcel - GCSE Maths - Question 12 - 2018 - Paper 2
Question 12
In a restaurant there are
9 starter dishes
15 main dishes
8 dessert dishes
Janet is going to choose one of the following combinations for her meal.
a starter dish ... show full transcript
Worked Solution & Example Answer:In a restaurant there are
9 starter dishes
15 main dishes
8 dessert dishes
Janet is going to choose one of the following combinations for her meal - Edexcel - GCSE Maths - Question 12 - 2018 - Paper 2
Step 1
a starter dish and a main dish
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Answer
To find the number of combinations of a starter dish and a main dish, we multiply the number of options available:
9imes15=135
Thus, there are 135 ways to choose a starter dish and a main dish.
Step 2
a main dish and a dessert dish
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Answer
To calculate the combinations of a main dish and a dessert dish, we use:
15imes8=120
Hence, there are 120 ways to choose a main dish and a dessert dish.
Step 3
a starter dish, a main dish and a dessert dish
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Answer
For the combination of a starter dish, a main dish, and a dessert dish, we find:
9imes15imes8=1080
Therefore, there are 1080 ways to choose a starter dish, a main dish, and a dessert dish.
Step 4
Show that there are 1335 different ways to choose the meal
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Answer
To find the total number of ways to choose a meal, we sum the combinations from the previous calculations:
135+120+1080=1335
This shows that there are indeed 1335 different ways to choose the meal.