A coffee shop offers 14 different types of flavor shots. If customer can choose any number of flavor shots to have in their coffee, how many flavor shot combinations are possible

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Answer:

1024

Step-by-step explanation:

The number of flavor shot combinations possible is; 8.71782912 × 10¹⁰ combinations.

According to the question;

  • The coffee shop offers 14 different types of flavour shots.

  • Customers are given the liberty to choose any number of flavor shots to have in their coffee.

In essence, the total number of flavour shot Combinations that are possible can be evaluated as;

14!

which can be evaluated mathematically as follows;

  • 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 ×1.

The result of the evaluation is therefore; 8.71782912 × 10¹⁰ combinations.

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