A women wants to distribute 12 identical cookies to her 5 children of different ages.

The youngest has to get at least 2 cookies while the rest at least 1.

In how many way can she do it ?

The answer is 210

My unsuccessful attempt was dividing the problem

first, we give 1 of the children 2 cookies and the rest 1 cookie.

She can do that in 1 way.

Then we are left with 12-6 = 6 cookies to distribute.

We calculate "6 choose 5".

Can some one help ?