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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