Question

How many different ways to distribute 12 strawberries, 7 oranges, and 6 bananas among five people if each person gets at least one from each type and each person gets the equal total number of fruits?

Answer #1

How many different ways to distribute 12 strawberries, 7
oranges, and 6 bananas among five people
if each person gets at least one from each type and each person
gets the equal total number of fruits?

How many ways are there to distribute thirty identical apples
among four kids so that:
a) each kid gets at least 1 apple
b) each kid gets an even number of apples but no kid gets 0
apples

Find the number of ways to distribute 15 balls of different
colors, 20 different books and 7 bananas in five identical boxes
such that in each box there are at least one ball, one book
and one banana.

You have $1000 in ten $100 bills to distribute among four
different charities.
(a) How many different ways can you distribute the $100 bills
(with no restrictions)?
(b) How many different ways can you distribute the $100 bills if
each charity must get at least some money?

How many ways are there to choose 10 pieces of fruit from
oranges, apples, bananas,
and peaches such that you have at most 3 kinds of fruit? Hint: you
don't want 4 kinds of
fruit.

1. How many ways are there to distribute 12 identical apples
among 5 baskets, with the last two baskets having 4 apples
combined?

Discrete math
A candy shop has 11 different color of gum ball.
1. How many ways are there to fill one bag, assume 6 gum ball
are 1 bag.
2. How many ways are there to fill one bag of 6 gum ball, if
each gum ball in bag has unique color.
3. if you buy 6 gum ball and distribute 1 to six kids
(A,B,C,D,E,F) , how many ways are there if each kids gets a
different color gum...

In how many ways can 12 indistinguishable apples and 1 orange
be distributed among three children in such a way that each child
gets at least one piece of fruit?
Consider the multiset {n .a,l,2,3,...,n) of size 2n. Determine
the number of its n-combinations.
consider the multiset {n.a,n.b,1,2,3,...,n+1)of size
3n+1.Determine the number of its n-combinations

Consider 12 people (5 men and 7 women).
1. How many ways are there of forming teams of 5, if the team must
consist of 3 men and 2 women? How many if it must consist of at
least one man? How many if it must contain at most one man?

How
many ways are there to distribute:
a.) 20 identical lollipops to 4 children
b.) 20 different toys to the 4 children
c) 20 different toys to the 4 children if each child gets
exactly 5 toys

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