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An Ice Cream parlour has two choices of flavours: chocolate and black
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04 Aug 2023, 08:24
04 Aug 2023, 08:24
Expert Reply
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Question Stats:
87% (01:09) correct
12% (01:13) wrong based on 8 sessions
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An Ice Cream parlour has two choices of flavours: chocolate and black currant. The ice cream parlour also offers a choice of four toppings: walnut, hazelnut, blue berries and cherries. It also offers each ice cream in three sizes; small, medium and large. If David decides to order ice cream with two toppings, one flavour and one size, how many different choices does David have?
A. 6
B. 12
C. 24
D. 36
E. 48
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A. 6
B. 12
C. 24
D. 36
E. 48
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Re: An Ice Cream parlour has two choices of flavours: chocolate and black
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06 Aug 2023, 09:39
06 Aug 2023, 09:39
1
Expert Reply
To find the number of different choices David has for his ice cream order, we need to consider the choices for each component (toppings, flavor, and size) and then calculate the total number of combinations.
Choices for toppings: David can choose two toppings from four options. This is a combination problem, so we use 4C2 to calculate the number of ways to choose two toppings.
Number of ways to choose two toppings = 4C2 = 4! / (2! * (4-2)!) = 6.
Choices for flavor: David has two choices for the ice cream flavor, either chocolate or black currant.
Number of choices for flavor = 2.
Choices for size: David has three choices for the size of the ice cream, either small, medium, or large.
Number of choices for size = 3.
To find the total number of different choices, we multiply the number of choices for each component:
Total choices = Number of toppings * Number of flavors * Number of sizes
Total choices = 6 (toppings) * 2 (flavors) * 3 (sizes) = 36.
Therefore, David has 36 different choices for his ice cream order.
The correct answer is:
D. 36
Choices for toppings: David can choose two toppings from four options. This is a combination problem, so we use 4C2 to calculate the number of ways to choose two toppings.
Number of ways to choose two toppings = 4C2 = 4! / (2! * (4-2)!) = 6.
Choices for flavor: David has two choices for the ice cream flavor, either chocolate or black currant.
Number of choices for flavor = 2.
Choices for size: David has three choices for the size of the ice cream, either small, medium, or large.
Number of choices for size = 3.
To find the total number of different choices, we multiply the number of choices for each component:
Total choices = Number of toppings * Number of flavors * Number of sizes
Total choices = 6 (toppings) * 2 (flavors) * 3 (sizes) = 36.
Therefore, David has 36 different choices for his ice cream order.
The correct answer is:
D. 36
Re: An Ice Cream parlour has two choices of flavours: chocolate and black
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12 Sep 2023, 05:11
12 Sep 2023, 05:11
1
2C1*4C2*3C1
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