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 and a main dish or a main dish and a dessert dish or a starter dish, a main dish and a dessert dish Show that there are 1335 different ways to choose the meal.

GCSE Edexcel Maths Algebraic Fractions: In a restaurant there are 9 star

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

96%

114 rated

Answer

To find the number of combinations of a starter dish and a main dish, we multiply the number of options available:

$9 imes 15 = 135$

Thus, there are 135 ways to choose a starter dish and a main dish.

Step 2

a main dish and a dessert dish

99%

104 rated

Answer

To calculate the combinations of a main dish and a dessert dish, we use:

$15 imes 8 = 120$

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

96%

101 rated

Answer

For the combination of a starter dish, a main dish, and a dessert dish, we find:

$9 imes 15 imes 8 = 1080$

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

98%

120 rated

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.

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

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

a starter dish and a main dish

a main dish and a dessert dish

a starter dish, a main dish and a dessert dish

Show that there are 1335 different ways to choose the meal

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