If you had to pick 2 fruits from a total of five fruits how

If you had to pick 2 fruits from a total of five fruits, how many different combinations can you get if the two fruits must be different. And how many different combinations can you get if the two fruits can be the same?

Solution

Total number of fruits=5

No. of fruits to be selected= 2

Thus number of possible selection= [^5C_2=(5!)/(2!xx3!)]

[=10]

If two fruits are same then possible selection ,we consider there are two fruits same as one unit .

= [^4C_1=4]