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 ?