# Permutation, Combination, or Duplicates formula for this word problem?

A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without looking, how many ways can you get 5 apples?

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Im stumped as to how to answer this question and I dont know which formula to use. I tried the duplicates formula, but my answer didnt match any of the answer choices.

If someone could please explain to me which formula to use and why, Id really appreciate it. Im trying to learn, not just get an answer, so Id rather emphasis be placed on the process rather than just giving me the answer. Best answer will be chosen on clarity and thoroughness. Thanks so much!

You'll have to use combination since the order isn't important.

so 6C5 = 6

#1

there are 10 fruits in the bag....you can choose 5 fruits from 10 in 10C5 ways...but there r 6 apples...therefore favourable ways to choose 5 apples from them is 1(as the apples r identical .so you choose any set of 5 from 6 apples, the selection is same)...in any other way involving oranges you won't get 5 apples ...now if you look for the probability of getting 5 apples..then it's P(A) = 1/10C5

#2

There are 6 apples and you are picking 5 so 6C5 = 6

There are 6 ways that you can pick 5 apples from 6 apples.