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  •  If you have 5 identical red balls and 3 identical blue balls, how many different arrangements can be made?  Option: 1 8</div

 If you have 5 identical red balls and 3 identical blue balls, how many different arrangements can be made?

 

Option: 1

8


Option: 2

10


Option: 3

15


Option: 4

20


Answers (1)

best_answer

Since the balls of the same color are identical, the order of arrangement doesn't matter. The problem can be solved using combinations. The number of ways to arrange the 8 balls is     
C(8,5)=\frac{8 !}{(5 ! \times(8-5) !)}=15

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