Five chocolates of different flavours are to be distributed in three different children such that any child get at least 1 chocolate. What is the maximum number of different ways in which this can be distributed?

5 different toys are to be distributed among 3 children such that any child gets at least 1 toy. What is the total number of ways in which it can be done ?120125130150

Some chocolates were distributed equally among a few children and three chocolates were left. Had there been four times the number of children, then ten chocolates would have been left. Find the number of children.

I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If Ikeep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute?(

You are given two positive integers n and limit.Return the total number of ways to distribute n candies among 3 children such that no child gets more than limit candies. Example 1:Input: n = 5, limit = 2Output: 3Explanation: There are 3 ways to distribute 5 candies such that no child gets more than 2 candies: (1, 2, 2), (2, 1, 2) and (2, 2, 1).Example 2:Input: n = 3, limit = 3Output: 10Explanation: There are 10 ways to distribute 3 candies such that no child gets more than 3 candies: (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0) and (3, 0, 0).

Ajay has a bag of chocolates with 4 dark chocolates and 7 white chocolates. In how many ways can he pick the chocolates so that he picks exactly 4 white chocolates?