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  • In how many ways can you select 2 same kinds of fruits from a basket of 6 identical apples and 4 identical oranges?  Option: 1 8</

In how many ways can you select 2 same kinds of fruits from a basket of 6 identical apples and 4 identical oranges?

 

Option: 1

8


Option: 2

10


Option: 3

15


Option: 4

21


Answers (1)

best_answer

If you want to select 2 fruits of the same type from a basket containing 6 identical apples and 4 identical oranges, there are two possibilities: either selecting 2 apples or selecting 2 oranges.

  1. Selecting 2 apples: Since there are 6 identical apples, the number of ways to select 2 apples from the basket is given by C(6,2)=\frac{6 !}{(2 ! \times(6-2) !)}=15
  2. Selecting 2 oranges: Similarly, the number of ways to select 2 oranges from the basket is given by C(4,2)=\frac{4 !}{(2 ! \times(4-2) !)}=6

    Therefore, the total number of ways to select 2 fruits of the same type from the basket is 15 (for selecting 2 apples) + 6 (for selecting 2 oranges) = 21.

    Hence, there are 21 ways to select 2 fruits of the same type from a basket containing 6 identical apples and 4 identical oranges.


     

 

Posted by

Sumit Saini

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