Answer:
Explanation:
Given that:
all coins are same;
The same implies that the number of the non-negative integral solution of the equation:


Thus, the number of the non-negative integral solution is:

(b)
Here all coins are distinct.
So; the number of distribution appears to be an equal number of ways in arranging 35 different objects as well as 5 - 1 - 4 identical objects
i.e.


(c)
Here; provided that the coins are the same and each grandchild gets the same.
Then;




Thus, each child will get 7 coins
(d)
Here; we need to divide the 35 coins into 5 groups, this process will be followed by distributing the coin.
The number of ways to group them into 5 groups =

Now, distributing them, we have:
