# In how many ways can two oranges, one apple, and one banana be distributed to two distinguishable bags?

I have $2$ oranges, $1$ apple and $1$ banana. I want to put $2$ of them at a time in $2$ bags, having $1$ ($1$ fruit at max in $1$ bag) each.

The $2$ oranges are indistinguishable (there are two but their value is same). [order does matter for combination]

The bags have positions: like first bag will be at first position and second will be at second position, and it will not be changed.

So please tell me in how many ways I can put them in bags?

yours sincerely

• Are you asking in how many ways two of the four fruits can be distributed to two distinguishable bags so that one fruit is placed in each bag? – N. F. Taussig May 2 '15 at 9:50