How many possible ways can 12 identical balls be distributed to 4 distinct boxes?

Thus the total number of ways of distribution of 12 identical balls to 4 people = 4 +132 + 1320 + 165 = 1621. There are just 165 ways of distribution that result in each person receiving at least one or more balls.

How many ways can 12 identical ice creams be distributed among 3 girls?

Therefore possible number of ways of distributing is= (12+3–1) c(3–1). =91 ways.

How many ways can 2 apples and 3 oranges be distributed to 4 children?

In how many ways 2 alike apple, 3 alike orange and 4 alike mango can be given to 3 children if each child can have 1 or more than 1 fruits? solution this is what I did. total number of ways without any restriction =900.

How many apples does each child get in a Apple distribution?

One child receives three apples, two children each receive two apples, and the other three children each receive one apple: There are six ways to choose the child who receives three apples and ( 5 2) ways to choose which two of the other five children each receive two apples. Hence, there are such distributions.

How many such distributions are possible with 6 ⋅5 = 30 apples?

Hence, there are 6 ⋅ 5 = 30 such distributions. ways to select the two children who each receive two apples.

How many apples does Barry Cipra give each child?

Addendum: Using Barry Cipra’s observation, we can confirm this result by using your method. One child receives five apples and the other five children each receive one apple: There are 6 ways to select the child who receives five apples.

How do you find the distribution of apples to bins?

For instance, AA*A*A represents the distribution (2,1,1), where Kathy gets two apples and the other two children get one each. Sequence AAA*A* represents the situation (3,1,0), where Kathy gets three, Peter gets one, and Susan gets none. Thus, each distribution of apples to bins is associated with a unique string of 4A’s and 2 *’s.