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Carla selects 5 fruit-flavored candies from a bowl containing 6 apple, 5 banana and 4 cherry candies. How many possible combinations of candies can Carla select?

 Sep 5, 2021
 #1
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You are essentially choosing three items from six

 

$\dbinom{6}{3} = \frac{6 \cdot 5 \cdot 4}{3 \cdot 2 \cdot 1} = \boxed{20}$

 Sep 5, 2021
 #2
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The question easy by

 

includes apple:

 1 + 2 + 1 + 2 + 2 + 2 + 2 + 1 + 2 = 15

 

only banana:    1


 only  banana + cherry:   4

 =>  15+1+4=20

 Sep 6, 2021

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