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In how many ways 10 different balls can ...

In how many ways 10 different balls can be put in 2 difference boxes ?

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We have two boxes P and Q and ten balls.
Now for each ball there are two options either it is put in box P or put in box Q.
So, different number of ways in which balls are put in the boxes
= total number of options of all balls
`=2xx2xx2`.. 10 times
`=2^(10)`.
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