In how many ways can i distribute $6$ identical cookies and $6$ identical candies to $4$ children, if each child must receive exactly $3$ items? (the requirement from part (a) is no longer in force -- that is, it's ok now to give a child $3$ items of one type and none of the other.)

You can distribute the cookies and candies in four ways.

Step-by-step explanation:

Since cookies and candies are indistinguishable, we can use a combination. In this case represents the number of possible ways to distribute (without repetition) the cookies and candies (p) among a given number of children (n):

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