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If you had to pick 2 fruits from a total of five fruits, how many different...

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supersmartpants | Salutatorian

Posted September 5, 2013 at 3:43 AM via web

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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?

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aruv | High School Teacher | Valedictorian

Posted September 5, 2013 at 4:15 AM (Answer #1)

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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`

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