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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?

 

The answer is 20, but how do I get it?

 Apr 19, 2022
 #1
avatar+115 
-7

Chris or melody  know maybe but....

 Apr 19, 2022
 #2
avatar+115 
-7

ima try to answer it

 Apr 19, 2022
 #3
avatar+9459 
+1

Consider the cases where you pick 0, 1, 2, 3, 4 cherry candies respectively. You can calculate how many candies you can pick after picking some amount of cherry candies, and suppose you can pick k more candies after picking some cherry candies, these are the only cases:

Apple candies Banana candies
0 k
1 k - 1
... ...
k 0

 

So if you are to pick k more candies from apple candies and banana candies, you would have k + 1 cases (just set k to some small number and count the number of rows in the table above). 

 

Now you should be able to manually count the cases.

 Apr 19, 2022

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