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A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to ..
A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?
Solutions
Expert Solution
A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. So, total number of toppings in the shop are
8 + 4 = 12
The number of ways to top a frozen yogurt will be equal to the number of subsets of a set with 12 elements.
Consider the formula for the Number of Subsets of a Set,
“A set containing n distinct objects has subsets.”
Substitute n = 12 in the formula, number of subsets of a set with 12 elements will be,
2n = 212
= 4096
Therefore, the number of ways to top a frozen yogurt is 4096.
Therefore, the number of ways to top a frozen yogurt is 4096.
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