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#plz check i got 21 ??? but answer is 86

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The necessary condition to be satisfied is:

 0 1 0 1 0 1 0

Now, there are remaining three 1's  that need to be placed:

_ 0 _ 0 _ 0 _ 0 _

Now, its like placing 3 identical balls into 5 different boxes.

That can be done in (5+3-1)C3 ways = 35 ways

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